{"id":340,"date":"2025-06-06T19:48:52","date_gmt":"2025-06-06T19:48:52","guid":{"rendered":"https:\/\/ireise.com\/?page_id=340"},"modified":"2025-06-09T16:05:28","modified_gmt":"2025-06-09T16:05:28","slug":"sample-problem-1","status":"publish","type":"page","link":"https:\/\/ireise.com\/index.php\/sample-problem-1\/","title":{"rendered":"\u0422\u0435\u0433\u043b\u0435\u043d\u0435 \u0431\u0435\u0437 \u0432\u0440\u044a\u0449\u0430\u043d\u0435"},"content":{"rendered":"<h2>\u0417\u0430\u0434\u0430\u0447\u0430 1<\/h2>\n\n\n<p>\u0412 \u043a\u0443\u0442\u0438\u044f \u0438\u043c\u0430 4 \u0431\u0435\u043b\u0438, 6 \u0447\u0435\u0440\u043d\u0438 \u0438 8 \u0437\u0435\u043b\u0435\u043d\u0438 \u0442\u043e\u043f\u043a\u0438. \u041a\u0430\u043a\u0432\u0430 \u0435 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0442\u0430 \u0442\u0440\u0438 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u043e \u0438\u0437\u0432\u0430\u0434\u0435\u043d\u0438 \u0442\u043e\u043f\u043a\u0438 \u043e\u0442 \u043a\u0443\u0442\u0438\u044f\u0442\u0430 \u0434\u0430 \u0441\u0430 \u0441 \u0435\u0434\u043d\u0430\u043a\u044a\u0432 \u0446\u0432\u044f\u0442?<br><em>\u041f\u0440\u0438\u0435\u043c\u0435\u043d \u0438\u0437\u043f\u0438\u0442 \u0421\u0423: 02.04.2023 (\u0417\u0430\u0434. 7)<\/em><\/p>\n\n\n<div class=\"wp-block-ub-content-toggle wp-block-ub-content-toggle-block\" id=\"ub-content-toggle-block-4280715a-2df0-4ae8-bc50-4a4fd3a664b2\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\" data-preventcollapse=\"false\" data-showonlyone=\"false\">\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #f1f1f1;\" id=\"ub-content-toggle-panel-block-\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #f1f1f1;\" aria-controls=\"ub-content-toggle-panel-0-4280715a-2df0-4ae8-bc50-4a4fd3a664b2\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-4280715a-2df0-4ae8-bc50-4a4fd3a664b2\" style=\"color: #000000; \">\u041d\u0430\u0441\u043e\u043a\u0430<\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-4280715a-2df0-4ae8-bc50-4a4fd3a664b2\">\n\n<p>\u0420\u0430\u0437\u0433\u043b\u0435\u0434\u0430\u0439 \u043f\u043e\u043e\u0442\u0434\u0435\u043b\u043d\u043e \u0442\u0440\u0438\u0442\u0435 \u0441\u043b\u0443\u0447\u0430\u044f: \u0438\u0437\u0442\u0435\u0433\u043b\u0435\u043d\u0438 3 \u0431\u0435\u043b\u0438, 3 \u0447\u0435\u0440\u043d\u0438 \u0438\u043b\u0438 3 \u0437\u0435\u043b\u0435\u043d\u0438. \u0417\u0430 \u0432\u0441\u0435\u043a\u0438 \u2014 \u0438\u0437\u043f\u043e\u043b\u0437\u0432\u0430\u0439 \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u043d\u043e \u0447\u0438\u0441\u043b\u043e. \u041f\u043e\u0441\u043b\u0435 \u0441\u0443\u043c\u0438\u0440\u0430\u0439 \u0438 \u0440\u0430\u0437\u0434\u0435\u043b\u0438 \u043d\u0430 \u043e\u0431\u0449\u0438\u044f \u0431\u0440\u043e\u0439 \u043d\u0430\u0447\u0438\u043d\u0438 \u0434\u0430 \u0438\u0437\u0431\u0435\u0440\u0435\u0448 3 \u0442\u043e\u043f\u043a\u0438 \u043e\u0442 18.<\/p>\n\n<\/div>\n\t\t<\/div>\n<\/div>\n\n<div class=\"wp-block-ub-content-toggle wp-block-ub-content-toggle-block\" id=\"ub-content-toggle-block-f9efe1a0-13f6-43f6-8ba8-63f425a4d7c8\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\" data-preventcollapse=\"false\" data-showonlyone=\"false\">\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #f1f1f1;\" id=\"ub-content-toggle-panel-block-\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #f1f1f1;\" aria-controls=\"ub-content-toggle-panel-0-f9efe1a0-13f6-43f6-8ba8-63f425a4d7c8\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f9efe1a0-13f6-43f6-8ba8-63f425a4d7c8\" style=\"color: #000000; \">\u0420\u0435\u0448\u0435\u043d\u0438\u0435 (ChatGPT)<\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-f9efe1a0-13f6-43f6-8ba8-63f425a4d7c8\">\n\n<p>\u0418\u043c\u0430\u043c\u0435: <strong>4 \u0431\u0435\u043b\u0438<\/strong> \u0442\u043e\u043f\u043a\u0438 <strong>6 \u0447\u0435\u0440\u043d\u0438<\/strong> \u0442\u043e\u043f\u043a\u0438 <strong>8 \u0437\u0435\u043b\u0435\u043d\u0438<\/strong> \u0442\u043e\u043f\u043a\u0438 <\/p>\n\n\n\n<p>\u041e\u0431\u0449\u043e: $$4 + 6 + 8 = 18$$ \u0442\u043e\u043f\u043a\u0438 <\/p>\n\n\n\n<p>\u0418\u0437\u0432\u0430\u0436\u0434\u0430\u0442 \u0441\u0435 <strong>3 \u0442\u043e\u043f\u043a\u0438 \u0435\u0434\u043d\u043e\u0432\u0440\u0435\u043c\u0435\u043d\u043d\u043e<\/strong>, <strong>\u043d\u0430 \u0441\u043b\u0443\u0447\u0430\u0435\u043d \u043f\u0440\u0438\u043d\u0446\u0438\u043f, \u0431\u0435\u0437 \u0432\u0440\u044a\u0449\u0430\u043d\u0435<\/strong>.<\/p>\n\n\n\n<p>\ud83d\udd39 \u0426\u0435\u043b: \u0414\u0430 \u043d\u0430\u043c\u0435\u0440\u0438\u043c <strong>\u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0442\u0430 \u0442\u0440\u0438\u0442\u0435 \u0438\u0437\u0442\u0435\u0433\u043b\u0435\u043d\u0438 \u0442\u043e\u043f\u043a\u0438 \u0434\u0430 \u0441\u0430 \u0441 \u0435\u0434\u043d\u0430\u043a\u044a\u0432 \u0446\u0432\u044f\u0442<\/strong><\/p>\n\n\n\n<p>\ud83d\udd38 \u0421\u0442\u044a\u043f\u043a\u0430 1: \u041e\u0431\u0449 \u0431\u0440\u043e\u0439 \u043d\u0430\u0447\u0438\u043d\u0438 \u0434\u0430 \u0438\u0437\u0431\u0435\u0440\u0435\u043c 3 \u0442\u043e\u043f\u043a\u0438 \u043e\u0442 18: $$ \\binom{18}{3} = \\frac{18 \\cdot 17 \\cdot 16}{6} = 816 $$<\/p>\n\n\n\n<p>\ud83d\udd38 \u0421\u0442\u044a\u043f\u043a\u0430 2: \u0411\u043b\u0430\u0433\u043e\u043f\u0440\u0438\u044f\u0442\u043d\u0438 \u0441\u043b\u0443\u0447\u0430\u0438 (3 \u0442\u043e\u043f\u043a\u0438 \u043e\u0442 \u0435\u0434\u0438\u043d \u0438 \u0441\u044a\u0449\u0438 \u0446\u0432\u044f\u0442) <\/p>\n\n\n\n<p> \u2705 3 \u0431\u0435\u043b\u0438: $$ \\binom{4}{3} = 4 $$<\/p>\n\n\n\n<p> \u2705 3 \u0447\u0435\u0440\u043d\u0438: $$ \\binom{6}{3} = \\frac{6 \\cdot 5 \\cdot 4}{6} = 20 $$<\/p>\n\n\n\n<p> \u2705 3 \u0437\u0435\u043b\u0435\u043d\u0438: $$ \\binom{8}{3} = \\frac{8 \\cdot 7 \\cdot 6}{6} = 56 $$<\/p>\n\n\n\n<p>\ud83d\udd38 \u041e\u0431\u0449\u043e \u0431\u043b\u0430\u0433\u043e\u043f\u0440\u0438\u044f\u0442\u043d\u0438 \u0441\u043b\u0443\u0447\u0430\u0438: $$ 4 + 20 + 56 = 80 $$<\/p>\n\n\n\n<p>\ud83d\udcca \u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442: $$ P = \\frac{80}{816} = \\frac{10}{102} = \\frac{5}{51} $$<\/p>\n\n\n\n<p> \u2705 \u041e\u0442\u0433\u043e\u0432\u043e\u0440: $$ \\boxed{\\frac{5}{51}} $$ <\/p>\n\n<\/div>\n\t\t<\/div>\n<\/div>\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u0417\u0430\u0434\u0430\u0447\u0430 2<\/h2>\n\n\n\n<p>\u041a\u043e\u043b\u043a\u043e \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u0438 \u0447\u0435\u0442\u0438\u0440\u0438\u0446\u0438\u0444\u0440\u0435\u043d\u0438 \u0447\u0438\u0441\u043b\u0430 \u0431\u0435\u0437 \u043f\u043e\u0432\u0442\u0430\u0440\u044f\u0449\u0438 \u0441\u0435 \u0446\u0438\u0444\u0440\u0438 \u043c\u043e\u0433\u0430\u0442 \u0434\u0430 \u0441\u0435 \u0437\u0430\u043f\u0438\u0448\u0430\u0442 \u0441 \u0446\u0438\u0444\u0440\u0438\u0442\u0435 0, 2, 4 \u0438 7?<br><em>\u0414\u0417\u0418: 03.06.2008 (\u0417\u0430\u0434. 25)<\/em><\/p>\n\n\n<div class=\"wp-block-ub-content-toggle wp-block-ub-content-toggle-block\" id=\"ub-content-toggle-block-7d5fc3a0-681e-44dd-83e1-fe89346f6cdf\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\" data-preventcollapse=\"false\" data-showonlyone=\"false\">\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #f1f1f1;\" id=\"ub-content-toggle-panel-block-\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #f1f1f1;\" aria-controls=\"ub-content-toggle-panel-0-7d5fc3a0-681e-44dd-83e1-fe89346f6cdf\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7d5fc3a0-681e-44dd-83e1-fe89346f6cdf\" style=\"color: #000000; \">\u041d\u0430\u0441\u043e\u043a\u0430<\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-7d5fc3a0-681e-44dd-83e1-fe89346f6cdf\">\n\n<p>\u041f\u043e\u043c\u0438\u0441\u043b\u0438 \u043a\u043e\u0438 \u043e\u0442 \u0447\u0435\u0442\u0438\u0440\u0438\u0446\u0438\u0444\u0440\u0435\u043d\u0438\u0442\u0435 \u0447\u0438\u0441\u043b\u0430 \u0441\u044a\u0441 \u0437\u0430\u0434\u0430\u0434\u0435\u043d\u0438\u0442\u0435 \u0446\u0438\u0444\u0440\u0438 \u0441\u0430 \u0432\u0430\u043b\u0438\u0434\u043d\u0438 \u2013 \u0447\u0438\u0441\u043b\u0430\u0442\u0430 \u043d\u0435 \u043c\u043e\u0433\u0430\u0442 \u0434\u0430 \u0437\u0430\u043f\u043e\u0447\u0432\u0430\u0442 \u0441 0, \u0442\u044a\u0439 \u043a\u0430\u0442\u043e \u0442\u043e\u0433\u0430\u0432\u0430 \u043d\u044f\u043c\u0430 \u0434\u0430 \u0441\u0430 \u0447\u0435\u0442\u0438\u0440\u0438\u0446\u0438\u0444\u0440\u0435\u043d\u0438.<\/p>\n\n\n\n<p>\u0418\u0437\u043f\u043e\u043b\u0437\u0432\u0430\u0439 \u0437\u043d\u0430\u043d\u0438\u0435\u0442\u043e, \u0447\u0435 \u0446\u0438\u0444\u0440\u0438\u0442\u0435 \u043d\u0435 \u0442\u0440\u044f\u0431\u0432\u0430 \u0434\u0430 \u0441\u0435 \u043f\u043e\u0432\u0442\u0430\u0440\u044f\u0442, \u0438 \u043f\u0440\u0435\u0446\u0435\u043d\u0438 \u043d\u0430 \u043a\u043e\u043b\u043a\u043e \u043f\u043e\u0437\u0438\u0446\u0438\u0438 \u043c\u043e\u0436\u0435\u0448 \u0434\u0430 \u0438\u0437\u0431\u0438\u0440\u0430\u0448 \u043e\u0442 \u0434\u0430\u0434\u0435\u043d\u0438\u0442\u0435 \u0446\u0438\u0444\u0440\u0438.<\/p>\n\n\n\n<p>\u041f\u043e\u043c\u0438\u0441\u043b\u0438 \u0437\u0430 \u043f\u0435\u0440\u043c\u0443\u0442\u0430\u0446\u0438\u0438 \u0441 \u043e\u0433\u0440\u0430\u043d\u0438\u0447\u0435\u043d\u0438\u044f \u2013 \u0442.\u0435. \u0432 \u043a\u043e\u043b\u043a\u043e \u043d\u0430\u0447\u0438\u043d\u0430 \u043c\u043e\u0436\u0435\u0448 \u0434\u0430 \u043f\u043e\u0434\u0440\u0435\u0434\u0438\u0448 4 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u0438 \u0446\u0438\u0444\u0440\u0438, \u043f\u0440\u0438 \u0443\u0441\u043b\u043e\u0432\u0438\u0435 \u0447\u0435 \u043f\u044a\u0440\u0432\u0430\u0442\u0430 \u043d\u0435 \u0435 0.<\/p>\n\n<\/div>\n\t\t<\/div>\n<\/div>\n\n<div class=\"wp-block-ub-content-toggle wp-block-ub-content-toggle-block\" id=\"ub-content-toggle-block-120103d4-56b5-470f-92ed-124b24f52172\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\" data-preventcollapse=\"false\" data-showonlyone=\"false\">\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #f1f1f1;\" id=\"ub-content-toggle-panel-block-\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #f1f1f1;\" aria-controls=\"ub-content-toggle-panel-0-120103d4-56b5-470f-92ed-124b24f52172\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-120103d4-56b5-470f-92ed-124b24f52172\" style=\"color: #000000; \">\u0420\u0435\u0448\u0435\u043d\u0438\u0435 (ChatGPT, llama 4)<\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-120103d4-56b5-470f-92ed-124b24f52172\">\n\n<p>\u0418\u043c\u0430\u043c\u0435 \u0434\u0430\u0434\u0435\u043d\u0438 \u0446\u0438\u0444\u0440\u0438\u0442\u0435:  $$ \\{0, 2, 4, 7\\} $$ \u0422\u044a\u0440\u0441\u0438\u043c \u043a\u043e\u043b\u043a\u043e <strong>\u0440\u0430\u0437\u043b\u0438\u0447\u043d\u0438 \u0447\u0435\u0442\u0438\u0440\u0438\u0446\u0438\u0444\u0440\u0435\u043d\u0438 \u0447\u0438\u0441\u043b\u0430<\/strong> \u043c\u043e\u0433\u0430\u0442 \u0434\u0430 \u0441\u0435 \u0441\u044a\u0441\u0442\u0430\u0432\u044f\u0442 \u043e\u0442 \u0442\u0435\u0437\u0438 \u0446\u0438\u0444\u0440\u0438, <strong>\u0431\u0435\u0437 \u043f\u043e\u0432\u0442\u0430\u0440\u044f\u0449\u0438 \u0441\u0435 \u0446\u0438\u0444\u0440\u0438<\/strong>.<\/p>\n\n\n\n<p>\ud83d\udd38 \u0421\u0442\u044a\u043f\u043a\u0430 1: \u0411\u0440\u043e\u0439 \u043f\u0435\u0440\u043c\u0443\u0442\u0430\u0446\u0438\u0438 \u043d\u0430 4 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u0438 \u0446\u0438\u0444\u0440\u0438 \u0418\u043c\u0430\u043c\u0435 \u0442\u043e\u0447\u043d\u043e 4 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u0438 \u0446\u0438\u0444\u0440\u0438 \u21d2 \u0412\u0441\u0438\u0447\u043a\u0438 \u043f\u0435\u0440\u043c\u0443\u0442\u0430\u0446\u0438\u0438 \u043d\u0430 \u0442\u0435\u0437\u0438 4 \u0446\u0438\u0444\u0440\u0438 \u0434\u0430\u0432\u0430\u0442 <strong>4-\u0446\u0438\u0444\u0440\u0435\u043d\u0438 \u0447\u0438\u0441\u043b\u0430<\/strong>, \u043d\u043e <strong>\u043d\u0435 \u0432\u0441\u0438\u0447\u043a\u0438 \u0437\u0430\u043f\u043e\u0447\u0432\u0430\u0442 \u0441 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u0430 \u043e\u0442 0<\/strong>.<\/p>\n\n\n\n<p>\ud83d\udd38 \u0421\u0442\u044a\u043f\u043a\u0430 2: \u0418\u0437\u043a\u043b\u044e\u0447\u0432\u0430\u043c\u0435 \u0447\u0438\u0441\u043b\u0430\u0442\u0430 \u0441 \u0432\u043e\u0434\u0435\u0449\u0430 0 \u041e\u0431\u0449 \u0431\u0440\u043e\u0439 \u043f\u0435\u0440\u043c\u0443\u0442\u0430\u0446\u0438\u0438 \u043d\u0430 4 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u0438 \u0446\u0438\u0444\u0440\u0438: $$ 4! = 24 $$ \u041d\u043e <strong>\u043d\u0435 \u043c\u043e\u0436\u0435<\/strong> \u0447\u0438\u0441\u043b\u043e \u0434\u0430 \u0437\u0430\u043f\u043e\u0447\u0432\u0430 \u0441 0 (\u0442\u043e\u0433\u0430\u0432\u0430 \u0442\u043e \u043d\u044f\u043c\u0430 \u0434\u0430 \u0435 \u0447\u0435\u0442\u0438\u0440\u0438\u0446\u0438\u0444\u0440\u0435\u043d\u043e), \u0437\u0430\u0442\u043e\u0432\u0430 \u0438\u0437\u043a\u043b\u044e\u0447\u0432\u0430\u043c\u0435 \u0442\u0435\u0437\u0438, \u043f\u0440\u0438 \u043a\u043e\u0438\u0442\u043e <strong>\u043f\u044a\u0440\u0432\u0430\u0442\u0430 \u0446\u0438\u0444\u0440\u0430 \u0435 0<\/strong>. <strong>\u041a\u043e\u043b\u043a\u043e \u0442\u0430\u043a\u0438\u0432\u0430 \u0438\u043c\u0430?<\/strong>\u0410\u043a\u043e 0 \u0435 \u043f\u044a\u0440\u0432\u0430\u0442\u0430 \u0446\u0438\u0444\u0440\u0430, \u043e\u0441\u0442\u0430\u043d\u0430\u043b\u0438\u0442\u0435 3 \u043c\u043e\u0433\u0430\u0442 \u0434\u0430 \u0441\u0435 \u043f\u043e\u0434\u0440\u0435\u0434\u044f\u0442 \u043f\u043e: $$ 3! = 6 \\text{ \u043d\u0430\u0447\u0438\u043d\u0430} $$ <\/p>\n\n\n\n<p>\u2705 \u0411\u0440\u043e\u0439 \u0432\u0430\u043b\u0438\u0434\u043d\u0438 \u0447\u0435\u0442\u0438\u0440\u0438\u0446\u0438\u0444\u0440\u0435\u043d\u0438 \u0447\u0438\u0441\u043b\u0430: $$ 4 \u2013 3! = 24 \u2013 6 = \\boxed{18} $$<\/p>\n\n\n\n<p>\u2705 \u041e\u0442\u0433\u043e\u0432\u043e\u0440: \u0421 \u0446\u0438\u0444\u0440\u0438\u0442\u0435 0, 2, 4 \u0438 7 \u043c\u043e\u0433\u0430\u0442 \u0434\u0430 \u0441\u0435 \u0437\u0430\u043f\u0438\u0448\u0430\u0442 <strong>18<\/strong> \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u0438 \u0447\u0435\u0442\u0438\u0440\u0438\u0446\u0438\u0444\u0440\u0435\u043d\u0438 \u0447\u0438\u0441\u043b\u0430 \u0431\u0435\u0437 \u043f\u043e\u0432\u0442\u0430\u0440\u044f\u0449\u0438 \u0441\u0435 \u0446\u0438\u0444\u0440\u0438.<\/p>\n\n<\/div>\n\t\t<\/div>\n<\/div>\n\n<div class=\"wp-block-ub-content-toggle wp-block-ub-content-toggle-block\" id=\"ub-content-toggle-block-3f8f13ca-3dd3-4a8c-947d-3073622e9a9c\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\" data-preventcollapse=\"false\" data-showonlyone=\"false\">\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #f1f1f1;\" id=\"ub-content-toggle-panel-block-\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #f1f1f1;\" aria-controls=\"ub-content-toggle-panel-0-3f8f13ca-3dd3-4a8c-947d-3073622e9a9c\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3f8f13ca-3dd3-4a8c-947d-3073622e9a9c\" style=\"color: #000000; \">\u0420\u0435\u0448\u0435\u043d\u0438\u0435 (DeepSeek, Mistral)<\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-3f8f13ca-3dd3-4a8c-947d-3073622e9a9c\">\n\n<p>\u0417\u0430 \u0434\u0430 \u043d\u0430\u043c\u0435\u0440\u0438\u043c \u0431\u0440\u043e\u044f \u043d\u0430 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u0438\u0442\u0435 \u0447\u0435\u0442\u0438\u0440\u0438\u0446\u0438\u0444\u0440\u0435\u043d\u0438 \u0447\u0438\u0441\u043b\u0430 \u0431\u0435\u0437 \u043f\u043e\u0432\u0442\u0430\u0440\u044f\u0449\u0438 \u0441\u0435 \u0446\u0438\u0444\u0440\u0438, \u043a\u043e\u0438\u0442\u043e \u043c\u043e\u0433\u0430\u0442 \u0434\u0430 \u0441\u0435 \u0437\u0430\u043f\u0438\u0448\u0430\u0442 \u0441 \u0446\u0438\u0444\u0440\u0438\u0442\u0435 0, 2, 4 \u0438 7, \u0442\u0440\u044f\u0431\u0432\u0430 \u0434\u0430 \u0432\u0437\u0435\u043c\u0435\u043c \u043f\u0440\u0435\u0434\u0432\u0438\u0434 \u0441\u043b\u0435\u0434\u043d\u0438\u0442\u0435 \u0443\u0441\u043b\u043e\u0432\u0438\u044f: <\/p>\n\n\n\n<p>1. \u0427\u0438\u0441\u043b\u0430\u0442\u0430 \u043d\u0435 \u043c\u043e\u0433\u0430\u0442 \u0434\u0430 \u0437\u0430\u043f\u043e\u0447\u0432\u0430\u0442 \u0441 \u043d\u0443\u043b\u0430. <\/p>\n\n\n\n<p>2. \u0412\u0441\u044f\u043a\u0430 \u0446\u0438\u0444\u0440\u0430 \u043c\u043e\u0436\u0435 \u0434\u0430 \u0441\u0435 \u0438\u0437\u043f\u043e\u043b\u0437\u0432\u0430 \u0441\u0430\u043c\u043e \u0432\u0435\u0434\u043d\u044a\u0436 \u0432\u044a\u0432 \u0432\u0441\u044f\u043a\u043e \u0447\u0438\u0441\u043b\u043e. <\/p>\n\n\n\n<p>\u0420\u0430\u0437\u0433\u043b\u0435\u0436\u0434\u0430\u043c\u0435 \u0441\u0442\u044a\u043f\u043a\u0430 \u043f\u043e \u0441\u0442\u044a\u043f\u043a\u0430:<\/p>\n\n\n\n<p>1. <strong>\u0418\u0437\u0431\u043e\u0440 \u043d\u0430 \u043f\u044a\u0440\u0432\u0430 \u0446\u0438\u0444\u0440\u0430:<\/strong> \u041f\u044a\u0440\u0432\u0430\u0442\u0430 \u0446\u0438\u0444\u0440\u0430 \u043d\u0435 \u043c\u043e\u0436\u0435 \u0434\u0430 \u0431\u044a\u0434\u0435 0, \u0437\u0430\u0449\u043e\u0442\u043e \u0438\u043d\u0430\u0447\u0435 \u0447\u0438\u0441\u043b\u043e\u0442\u043e \u043d\u044f\u043c\u0430 \u0434\u0430 \u0435 \u0447\u0435\u0442\u0438\u0440\u0438\u0446\u0438\u0444\u0440\u0435\u043d\u043e. \u2013 \u0422\u0430\u043a\u0430 \u0447\u0435 \u0438\u043c\u0430\u043c\u0435 \u0432\u044a\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u0442\u0430 \u0434\u0430 \u0438\u0437\u0431\u0435\u0440\u0435\u043c \u043c\u0435\u0436\u0434\u0443 2, 4 \u0438 7. \u0422\u043e\u0432\u0430 \u043e\u0437\u043d\u0430\u0447\u0430\u0432\u0430, \u0447\u0435 \u0438\u043c\u0430\u043c\u0435 <strong>3 \u043e\u043f\u0446\u0438\u0438<\/strong> \u0437\u0430 \u043f\u044a\u0440\u0432\u0430\u0442\u0430 \u0446\u0438\u0444\u0440\u0430.<\/p>\n\n\n\n<p>2. <strong>\u0418\u0437\u0431\u043e\u0440 \u043d\u0430 \u0432\u0442\u043e\u0440\u0430 \u0446\u0438\u0444\u0440\u0430<\/strong>: \u0421\u043b\u0435\u0434 \u043a\u0430\u0442\u043e \u0441\u043c\u0435 \u0438\u0437\u0431\u0440\u0430\u043b\u0438 \u043f\u044a\u0440\u0432\u0430\u0442\u0430 \u0446\u0438\u0444\u0440\u0430, \u043e\u0441\u0442\u0430\u0432\u0430\u0442 \u043d\u0438 3 \u0446\u0438\u0444\u0440\u0438 (\u0432\u043a\u043b\u044e\u0447\u0438\u0442\u0435\u043b\u043d\u043e 0). \u0422\u0430\u043a\u0430 \u0447\u0435 \u0438\u043c\u0430\u043c\u0435 <strong>3 \u043e\u043f\u0446\u0438\u0438<\/strong> \u0437\u0430 \u0432\u0442\u043e\u0440\u0430\u0442\u0430 \u0446\u0438\u0444\u0440\u0430.<\/p>\n\n\n\n<p>3. <strong>\u0418\u0437\u0431\u043e\u0440 \u043d\u0430 \u0442\u0440\u0435\u0442\u0430 \u0446\u0438\u0444\u0440\u0430:<\/strong> \u0421\u043b\u0435\u0434 \u043a\u0430\u0442\u043e \u0441\u043c\u0435 \u0438\u0437\u0431\u0440\u0430\u043b\u0438 \u043f\u044a\u0440\u0432\u0438\u0442\u0435 \u0434\u0432\u0435 \u0446\u0438\u0444\u0440\u0438, \u043e\u0441\u0442\u0430\u0432\u0430\u0442 \u043d\u0438 2 \u0446\u0438\u0444\u0440\u0438. \u0422\u0430\u043a\u0430 \u0447\u0435 \u0438\u043c\u0430\u043c\u0435 <strong>2 \u043e\u043f\u0446\u0438\u0438<\/strong> \u0437\u0430 \u0442\u0440\u0435\u0442\u0430\u0442\u0430 \u0446\u0438\u0444\u0440\u0430.<\/p>\n\n\n\n<p>4. <strong>\u0418\u0437\u0431\u043e\u0440 \u043d\u0430 \u0447\u0435\u0442\u0432\u044a\u0440\u0442\u0430 \u0446\u0438\u0444\u0440\u0430:<\/strong> \u0421\u043b\u0435\u0434 \u043a\u0430\u0442\u043e \u0441\u043c\u0435 \u0438\u0437\u0431\u0440\u0430\u043b\u0438 \u043f\u044a\u0440\u0432\u0438\u0442\u0435 \u0442\u0440\u0438 \u0446\u0438\u0444\u0440\u0438, \u043e\u0441\u0442\u0430\u0432\u0430 \u043d\u0438 \u0441\u0430\u043c\u043e \u0435\u0434\u043d\u0430 \u0446\u0438\u0444\u0440\u0430. \u0422\u0430\u043a\u0430 \u0447\u0435 \u0438\u043c\u0430\u043c\u0435 <strong>1 \u043e\u043f\u0446\u0438\u044f<\/strong> \u0437\u0430 \u0447\u0435\u0442\u0432\u044a\u0440\u0442\u0430\u0442\u0430 \u0446\u0438\u0444\u0440\u0430.<\/p>\n\n\n\n<p>\u0423\u043c\u043d\u043e\u0436\u0430\u0432\u0430\u0439\u043a\u0438 \u0431\u0440\u043e\u044f \u043d\u0430 \u0432\u044a\u0437\u043c\u043e\u0436\u043d\u0438\u0442\u0435 \u0438\u0437\u0431\u043e\u0440\u0438 \u0437\u0430 \u0432\u0441\u044f\u043a\u0430 \u043f\u043e\u0437\u0438\u0446\u0438\u044f, \u043f\u043e\u043b\u0443\u0447\u0430\u0432\u0430\u043c\u0435 \u043e\u0431\u0449\u0438\u044f \u0431\u0440\u043e\u0439 \u043d\u0430 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u0438 \u0447\u0435\u0442\u0438\u0440\u0438\u0446\u0438\u0444\u0440\u0435\u043d\u0438 \u0447\u0438\u0441\u043b\u0430: \\[ 3 \\times 3 \\times 2 \\times 1 = 18 \\] <\/p>\n\n\n\n<p>\u041c\u043e\u0436\u0435\u043c \u0434\u0430 \u0441\u044a\u0441\u0442\u0430\u0432\u0438\u043c <strong>18<\/strong> \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u0438 \u0447\u0435\u0442\u0438\u0440\u0438\u0446\u0438\u0444\u0440\u0435\u043d\u0438 \u0447\u0438\u0441\u043b\u0430 \u0431\u0435\u0437 \u043f\u043e\u0432\u0442\u0430\u0440\u044f\u0449\u0438 \u0441\u0435 \u0446\u0438\u0444\u0440\u0438 \u0441 \u0446\u0438\u0444\u0440\u0438\u0442\u0435 0, 2, 4 \u0438 7.<\/p>\n\n<\/div>\n\t\t<\/div>\n<\/div>\n\n\n<p class=\"has-text-align-right\"><a href=\"https:\/\/ireise.com\/index.php\/sample-page\/\" data-type=\"page\" data-id=\"2\"><strong>Back to Index<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0417\u0430\u0434\u0430\u0447\u0430 1 \u0412 \u043a\u0443\u0442\u0438\u044f \u0438\u043c\u0430 4 \u0431\u0435\u043b\u0438, 6 \u0447\u0435\u0440\u043d\u0438 \u0438 8 \u0437\u0435\u043b\u0435\u043d\u0438 \u0442\u043e\u043f\u043a\u0438. \u041a\u0430\u043a\u0432\u0430 \u0435 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0442\u0430 \u0442\u0440\u0438 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u043e \u0438\u0437\u0432\u0430\u0434\u0435\u043d\u0438 \u0442\u043e\u043f\u043a\u0438 \u043e\u0442 \u043a\u0443\u0442\u0438\u044f\u0442\u0430 \u0434\u0430 \u0441\u0430 \u0441 \u0435\u0434\u043d\u0430\u043a\u044a\u0432 \u0446\u0432\u044f\u0442?\u041f\u0440\u0438\u0435\u043c\u0435\u043d \u0438\u0437\u043f\u0438\u0442 \u0421\u0423: 02.04.2023 (\u0417\u0430\u0434. 7) \u0417\u0430\u0434\u0430\u0447\u0430 2 \u041a\u043e\u043b\u043a\u043e \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u0438 \u0447\u0435\u0442\u0438\u0440\u0438\u0446\u0438\u0444\u0440\u0435\u043d\u0438 \u0447\u0438\u0441\u043b\u0430 \u0431\u0435\u0437 \u043f\u043e\u0432\u0442\u0430\u0440\u044f\u0449\u0438 \u0441\u0435 \u0446\u0438\u0444\u0440\u0438 \u043c\u043e\u0433\u0430\u0442 \u0434\u0430 \u0441\u0435 \u0437\u0430\u043f\u0438\u0448\u0430\u0442 \u0441 \u0446\u0438\u0444\u0440\u0438\u0442\u0435 0, 2, 4 \u0438 7?\u0414\u0417\u0418: 03.06.2008 (\u0417\u0430\u0434. &hellip; <a href=\"https:\/\/ireise.com\/index.php\/sample-problem-1\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">\u0422\u0435\u0433\u043b\u0435\u043d\u0435 \u0431\u0435\u0437 \u0432\u0440\u044a\u0449\u0430\u043d\u0435<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ub_ctt_via":"","footnotes":""},"class_list":["post-340","page","type-page","status-publish","hentry"],"featured_image_src":null,"_links":{"self":[{"href":"https:\/\/ireise.com\/index.php\/wp-json\/wp\/v2\/pages\/340","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ireise.com\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/ireise.com\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/ireise.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ireise.com\/index.php\/wp-json\/wp\/v2\/comments?post=340"}],"version-history":[{"count":30,"href":"https:\/\/ireise.com\/index.php\/wp-json\/wp\/v2\/pages\/340\/revisions"}],"predecessor-version":[{"id":464,"href":"https:\/\/ireise.com\/index.php\/wp-json\/wp\/v2\/pages\/340\/revisions\/464"}],"wp:attachment":[{"href":"https:\/\/ireise.com\/index.php\/wp-json\/wp\/v2\/media?parent=340"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}