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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 : 

(1) 250 + 1 

(2) 250 (250 – 1) 

(3) 2100 – 1 

(4) 250 – 1

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The correct option (2) 250(250 – 1)

Explanation:

Product of elements in A is even = (total subjects) – (Number of subject of all whose element are odd) 

= 2100 – 250

= 250(250 – 1)

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