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. |
250(250−1) |
b. |
2100−1 |
c. |
250−1 |
d. |
250+1 |
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. |
250(250−1) |
b. |
2100−1 |
c. |
250−1 |
d. |
250+1 |
S = (1,2,3, …,100)
=Total non-empty subsets-subsets with product of element is odd
=2100−1−1[(250−1)]
=2100−250
=250(250−1)