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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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Answer» 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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