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Practicing real exam questions helps you understand the exam pattern, improve accuracy, and boost your JEE score. Perfect for students aiming for top ranks in IIT-JEE.","tags","jee main joint entrance examination india","version","vip","location",{"_391":392,"_393":394},"type","Point","coordinates",[395,396],79.0888,21.1466,"in","priority",11,"createdOn",1756744302186,"updatedOn","questionsCount",24748,"courseCount",9,"examKey","questionData",{"_369":410,"_411":412,"_413":414,"_278":416,"_417":418,"_263":370,"_419":420,"_421":422,"_110":427},"mkDeD5KpvU5MONeDHT6xjCuB7b7Ev7","q","Let S = {1, 2, 3, … , 100}. The number of non-empty subsets A of S such that the product of elements in A is even is :","ans",[415],1,"2019 - 12th January Morning Slot","course","mathematics","exp","S = {1,2,3, . . . .100}\n

= Total non empty subsets-subsets with product of element is odd\n

= 2¹⁰⁰ $$-$$ 1 $$-$$ 1[(2⁵⁰ $$-$$ 1)]\n

= 2¹⁰⁰ $$-$$ 2⁵⁰\n

= 2⁵⁰ (2⁵⁰ $$-$$ 1)","opts",[423,424,425,426],"2⁵⁰ – 1","2⁵⁰ (2⁵⁰ $$-$$ 1)","2¹⁰⁰ $$-$$ 1","2⁵⁰ + 1",5,"5","initComment","initReply","actionData","errors"]

JEE MAIN - Mathematics (2019 - 12th January Morning Slot - No. 5)

Explanation

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