{"id":36452,"date":"2026-05-05T17:48:27","date_gmt":"2026-05-05T11:48:27","guid":{"rendered":"https:\/\/mcqacademy.com\/bn\/mcq\/binomial-coefficient-term-7\/"},"modified":"2026-05-05T17:48:27","modified_gmt":"2026-05-05T11:48:27","slug":"binomial-coefficient-term-7","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/bn\/mcq\/binomial-coefficient-term-7\/","title":{"rendered":"\u09a6\u09cd\u09ac\u09bf\u09aa\u09a6\u09c0 \u09ac\u09bf\u09b8\u09cd\u09a4\u09be\u09b0\u09c7 \u09b8\u09b9\u0997 \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc 7"},"content":{"rendered":"<p>In the expansion of (1x + -1y)^10, find the coefficient of x^3y^7.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>120<\/li>\n<li>-120<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[8551,8561],"subject":[7852],"education_level":[8343],"class_list":["post-36452","mcq","type-mcq","status-publish","hentry","topic-algebra","topic-binomial-theorem","subject-mathematics","education_level-hsc"],"mcq_note":"\u09a6\u09cd\u09ac\u09bf\u09aa\u09a6\u09c0 \u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 \u0995\u09b0\u09cb \u098f\u09ac\u0982 y-\u098f\u09b0 \u0998\u09be\u09a4 \u09a6\u09c7\u0996\u09c7 k-\u098f\u09b0 \u09ae\u09be\u09a8 \u09a8\u09bf\u09b0\u09cd\u09a7\u09be\u09b0\u09a3 \u0995\u09b0\u09cb\u0964 k \u099c\u09be\u09a8\u09be \u09b9\u09b2\u09c7 x-\u098f\u09b0 \u0998\u09be\u09a4 \u09b8\u09cd\u09ac\u09af\u09bc\u0982\u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09ad\u09be\u09ac\u09c7 n-k \u09b9\u09af\u09bc\u0964 \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u09aa\u09a6 \u09b9\u09b2\u09cb C(10,k)(x)^(10-k)(-y)^k\u0964 k=7 \u09b9\u09b2\u09c7 \u09b8\u09b9\u0997 = C(10,7)\u00b71^3\u00b7-1^7=-120\u0964 \u09ae\u09a8\u09c7 \u09b0\u09be\u0996\u09ac\u09c7, \u09b8\u0982\u0996\u09cd\u09af\u09be\u0997\u09a4 \u09b8\u09b9\u0997 \u0986\u09b8\u09c7 \u09a6\u09cd\u09ac\u09bf\u09aa\u09a6\u09c0 \u09b8\u09b9\u0997 \u098f\u09ac\u0982 x \u0993 y-\u098f\u09b0 \u09b8\u0999\u09cd\u0997\u09c7 \u09a5\u09be\u0995\u09be \u09a7\u09cd\u09b0\u09c1\u09ac\u0995\u0997\u09c1\u09b2\u09cb \u09a5\u09c7\u0995\u09c7; \u098b\u09a3\u09be\u09a4\u09cd\u09ae\u0995 \u099a\u09bf\u09b9\u09cd\u09a8 \u09a5\u09be\u0995\u09b2\u09c7 \u09b8\u09c7\u099f\u09bf\u0993 \u09a7\u09b0\u09a4\u09c7 \u09b9\u09ac\u09c7\u0964","mcq_options":[{"right":"no","answer":"120"},{"right":"yes","answer":"-120"}],"multi_answers":"no","subject_terms":[{"id":7852,"title":"\u0997\u09a3\u09bf\u09a4\u09b6\u09be\u09b8\u09cd\u09a4\u09cd\u09b0","slug":"mathematics"}],"topic_terms":[{"id":8551,"title":"Algebra","slug":"algebra"},{"id":8561,"title":"Binomial Theorem","slug":"binomial-theorem"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/bn\/wp-json\/wp\/v2\/mcq\/36452","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/bn\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/bn\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/bn\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/bn\/wp-json\/wp\/v2\/comments?post=36452"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/bn\/wp-json\/wp\/v2\/media?parent=36452"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/bn\/wp-json\/wp\/v2\/topic?post=36452"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/bn\/wp-json\/wp\/v2\/subject?post=36452"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/bn\/wp-json\/wp\/v2\/education_level?post=36452"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}