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let S={1,2,...,100}.

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let S={1,2,...,100}. The number of nonempty subsets A of S such that the product of elements in A is even is
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total no.of subsets= 2100

no.of subsets, the products of elements in that set is odd= 250 (including empty set)

so no.of subsets, the products of elements in that set is even =2100 - 250

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