Let = {1, 2, 3, ... , 100}. The number of non-empty subsets A of such that the product of elements in A is even is :
(1) 250 + 1
(2) 250 (250 – 1)
(3) 2100 – 1
(4) 250 – 1
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)
