{"id":2559,"date":"2026-05-05T17:05:39","date_gmt":"2026-05-05T17:05:39","guid":{"rendered":"https:\/\/mcqacademy.com\/ar\/mcq\/binomial-coefficient-term-12\/"},"modified":"2026-05-05T17:05:39","modified_gmt":"2026-05-05T17:05:39","slug":"binomial-coefficient-term-12","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/ar\/mcq\/binomial-coefficient-term-12\/","title":{"rendered":"\u0645\u0639\u0627\u0645\u0644 \u062d\u062f \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 12"},"content":{"rendered":"<p>\u0641\u064a \u062a\u0648\u0633\u0639\u0629 (1x + 1y)^11\u060c \u0623\u0648\u062c\u062f \u0645\u0639\u0627\u0645\u0644 x^2y^9.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>-55<\/li>\n<li>55<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[909,921],"subject":[123],"education_level":[5],"class_list":["post-2559","mcq","type-mcq","status-publish","hentry","topic-algebra","topic-binomial-theorem","subject-mathematics","education_level-hsc"],"mcq_note":"\u0627\u0633\u062a\u062e\u062f\u0645 \u0646\u0638\u0631\u064a\u0629 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646\u060c \u0648\u0637\u0627\u0628\u0642 \u0623\u0633 y \u0644\u062a\u062d\u062f\u064a\u062f \u0642\u064a\u0645\u0629 k. \u0628\u0639\u062f \u0645\u0639\u0631\u0641\u0629 k\u060c \u064a\u0643\u0648\u0646 \u0623\u0633 x \u062a\u0644\u0642\u0627\u0626\u064a\u064b\u0627 n-k. \u0627\u0644\u062d\u062f \u0627\u0644\u0639\u0627\u0645 \u0647\u0648 C(11,k)(x)^(11-k)(y)^k. \u0639\u0646\u062f k=9\u060c \u064a\u0643\u0648\u0646 \u0627\u0644\u0645\u0639\u0627\u0645\u0644 C(11,9)\u00b71^2\u00b71^9=55. \u062a\u0630\u0643\u0651\u0631 \u0623\u0646 \u0627\u0644\u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0639\u062f\u062f\u064a \u064a\u0623\u062a\u064a \u0645\u0646 \u0645\u0639\u0627\u0645\u0644 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0648\u0645\u0646 \u0627\u0644\u062b\u0648\u0627\u0628\u062a \u0627\u0644\u0645\u0631\u0627\u0641\u0642\u0629 \u0644\u0640 x \u0648 y\u060c \u0645\u0639 \u0627\u0644\u0627\u0646\u062a\u0628\u0627\u0647 \u0644\u0623\u064a \u0625\u0634\u0627\u0631\u0629 \u0633\u0627\u0644\u0628\u0629.","mcq_options":[{"right":"no","answer":"-55"},{"right":"yes","answer":"55"}],"multi_answers":"no","subject_terms":[{"id":123,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":909,"title":"Algebra","slug":"algebra"},{"id":921,"title":"Binomial Theorem","slug":"binomial-theorem"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/mcq\/2559","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/comments?post=2559"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/media?parent=2559"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/topic?post=2559"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/subject?post=2559"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/education_level?post=2559"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}