20:[["$","title","0",{"children":"BMSAT Kozhikode - If A=1, 2, 3, ... , 10, then how many subsets of A contain the element 1, but not 4? | PYQs + Solutions | AfterBoards"}],["$","meta","1",{"name":"description","content":"undefined A = \\1, 2, 3, 4, 5, 6, 7, 8, 9, 10\\ has 10 e<=ments total. The subset must contain 1 and must not contain 4.

E<=ment 1: must be IN arrow 1 choice E<=ment 4: must be OUT arrow 1 choice Remaining 8 e<=ments (2, 3, 5, 6, 7, 8, 9, 10): each can be IN or OUT arrow 2 choices each

Total subsets = 1 1 2^8 = 2^8 = 256"}],["$","link","2",{"rel":"manifest","href":"https://www.afterboards.in/manifest.json","crossOrigin":"$undefined"}],["$","meta","3",{"name":"keywords","content":"BMSAT Kozhikode,QA,Modern Math,Set Theory"}],["$","meta","4",{"name":"robots","content":"index, follow"}],["$","meta","5",{"name":"category","content":"education"}],["$","meta","6",{"name":"google-site-verification","content":"google"}],["$","meta","7",{"name":"mobile-web-app-capable","content":"yes"}],["$","meta","8",{"name":"apple-mobile-web-app-title","content":"AfterBoards"}],["$","meta","9",{"name":"apple-mobile-web-app-status-bar-style","content":"default"}],["$","meta","10",{"property":"og:title","content":"BMSAT Kozhikode - If A=1, 2, 3, ... , 10, then how many subsets of A contain the element 1, but not 4? | PYQs + Solutions"}],["$","meta","11",{"property":"og:description","content":"undefined A = \\1, 2, 3, 4, 5, 6, 7, 8, 9, 10\\ has 10 e<=ments total. The subset must contain 1 and must not contain 4.

E<=ment 1: must be IN arrow 1 choice E<=ment 4: must be OUT arrow 1 choice Remaining 8 e<=ments (2, 3, 5, 6, 7, 8, 9, 10): each can be IN or OUT arrow 2 choices each

Total subsets = 1 1 2^8 = 2^8 = 256"}],["$","meta","12",{"property":"og:url","content":"https://www.afterboards.in/past-year-questions/iimk-bmsat/2026/QA/21"}],["$","meta","13",{"property":"og:site_name","content":"AfterBoards | BMSAT Kozhikode Preparation"}],["$","meta","14",{"property":"og:image","content":"https://www.afterboards.in/pyp/AfterBoards%20CUET%20Past%20Year%20Papers%20with%20Solutions.webp"}],["$","meta","15",{"property":"og:type","content":"website"}],["$","meta","16",{"name":"twitter:card","content":"summary_large_image"}],["$","meta","17",{"name":"twitter:site","content":"afterboards.in"}],["$","meta","18",{"name":"twitter:title","content":"BMSAT Kozhikode - If A=1, 2, 3, ... , 10, then how many subsets of A contain the element 1, but not 4? | PYQs + Solutions"}],["$","meta","19",{"name":"twitter:description","content":"undefined A = \\1, 2, 3, 4, 5, 6, 7, 8, 9, 10\\ has 10 e<=ments total. The subset must contain 1 and must not contain 4.

E<=ment 1: must be IN arrow 1 choice E<=ment 4: must be OUT arrow 1 choice Remaining 8 e<=ments (2, 3, 5, 6, 7, 8, 9, 10): each can be IN or OUT arrow 2 choices each

Total subsets = 1 1 2^8 = 2^8 = 256"}],["$","meta","20",{"name":"twitter:image","content":"https://www.afterboards.in/pyp/AfterBoards%20CUET%20Past%20Year%20Papers%20with%20Solutions.webp"}],["$","link","21",{"rel":"shortcut icon","href":"https://www.afterboards.in/favicon.ico","type":"image/x-icon","sizes":"48x48"}],["$","link","22",{"rel":"icon","href":"https://www.afterboards.in/favicon.ico","type":"image/x-icon","sizes":"48x48"}],["$","link","23",{"rel":"icon","href":"https://www.afterboards.in/icons/windows11/Square44x44Logo.altform-lightunplated_targetsize-256.png","sizes":"256x256","type":"image/png"}],["$","link","24",{"rel":"icon","href":"https://www.afterboards.in/icons/android/android-launchericon-512-512.png","sizes":"512x512","type":"image/png"}],["$","link","25",{"rel":"icon","href":"https://www.afterboards.in/icons/android/android-launchericon-192-192.png","sizes":"192x192","type":"image/png"}],["$","link","26",{"rel":"icon","href":"https://www.afterboards.in/icons/android/android-launchericon-144-144.png","sizes":"144x144","type":"image/png"}],"$L2e","$L2f","$L30"]

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