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Let $S = {1, 2, 3, ....50}$ the number of non empty subsets A of S. such that the product of elements in A is even is ___

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$2^{25} (2^{25} - 1)$

$2^{50} - 1$

$2^{25} - 1$

$2^{50} + 1$

answer is A.

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Detailed Solution

Total non empty subsets – Subsets with product is odd

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