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 :

Question

2⁵⁰ – 1

2⁵⁰ (2⁵⁰ $-$ 1)

2¹⁰⁰ $-$ 1

2⁵⁰ + 1

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