d:[["$","title","0",{"children":"IIM Kozhikode - Let A = \\a, b, c, d, e\\. The no. of subsets that contain exactly 3 of these elements are? | PYQs + Solutions | AfterBoards"}],["$","meta","1",{"name":"description","content":"undefined We need to find how many ways we can pick exactly 3 e<=ments from the set A = \\a, b, c, d, e\\.

This is a combination prob<=m since we're se<=cting e<=ments where order doesn't matter. We use the combination formula: C(n,r) = n!r!(n-r)! Where n = 5 (total e<=ments) and r = 3 (e<=ments to se<=ct).

C(5,3) = 5!3!(5-3)! = 5!3! 2! = 5 4 3!3! 2 1 = 5 42 1 = 202 = 10

The 10 subsets are: \\a,b,c\\, \\a,b,d\\, \\a,b,e\\, \\a,c,d\\, \\a,c,e\\, \\a,d,e\\, \\b,c,d\\, \\b,c,e\\, \\b,d,e\\, \\c,d,e\\ Therefore, there are 10 subsets that contain exactly 3 e<=ments."}],["$","link","2",{"rel":"manifest","href":"https://www.afterboards.in/manifest.json","crossOrigin":"$undefined"}],["$","meta","3",{"name":"keywords","content":"IIM-K (BMSAT),QA,Modern Math,Permutation & Combination"}],["$","meta","4",{"name":"robots","content":"index, follow"}],["$","meta","5",{"name":"category","content":"education"}],["$","meta","6",{"name":"google-site-verification","content":"google"}],["$","meta","7",{"property":"og:title","content":"IIM Kozhikode - Let A = \\a, b, c, d, e\\. The no. of subsets that contain exactly 3 of these elements are? | PYQs + Solutions"}],["$","meta","8",{"property":"og:description","content":"undefined We need to find how many ways we can pick exactly 3 e<=ments from the set A = \\a, b, c, d, e\\.

C(5,3) = 5!3!(5-3)! = 5!3! 2! = 5 4 3!3! 2 1 = 5 42 1 = 202 = 10

The 10 subsets are: \\a,b,c\\, \\a,b,d\\, \\a,b,e\\, \\a,c,d\\, \\a,c,e\\, \\a,d,e\\, \\b,c,d\\, \\b,c,e\\, \\b,d,e\\, \\c,d,e\\ Therefore, there are 10 subsets that contain exactly 3 e<=ments."}],["$","meta","9",{"property":"og:url","content":"https://www.afterboards.in/past-year-questions/iimk-bmsat/2025/QA/42"}],["$","meta","10",{"property":"og:site_name","content":"AfterBoards | IIM Kozhikode Preparation"}],["$","meta","11",{"property":"og:image","content":"https://www.afterboards.in/pyp/AfterBoards%20CUET%20Past%20Year%20Papers%20with%20Solutions.webp"}],["$","meta","12",{"property":"og:type","content":"website"}],["$","meta","13",{"name":"twitter:card","content":"summary_large_image"}],["$","meta","14",{"name":"twitter:site","content":"afterboards.in"}],["$","meta","15",{"name":"twitter:title","content":"IIM Kozhikode - Let A = \\a, b, c, d, e\\. The no. of subsets that contain exactly 3 of these elements are? | PYQs + Solutions"}],["$","meta","16",{"name":"twitter:description","content":"undefined We need to find how many ways we can pick exactly 3 e<=ments from the set A = \\a, b, c, d, e\\.

C(5,3) = 5!3!(5-3)! = 5!3! 2! = 5 4 3!3! 2 1 = 5 42 1 = 202 = 10

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