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Let S={1,2,3,....., 100}. The number of ...

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

A

`2^(50)(2^(50)-1)`

B

`2^(100)-1`

C

`2^(50)-1`

D

`2^(1000)-2^(75)`

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