Number of Subset of a Given Set
Trending Questions
Q. 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:
- 2100−1
- 250−1
- 250(250−1)
- 250+1
Q. Let Z be the set of integers. If
A={x∈Z:2(x+2)(x2−5x+6)=1} and B={x∈Z:−3<2x−1<9}, then the number of subsets of the set A×B, is :
A={x∈Z:2(x+2)(x2−5x+6)=1} and B={x∈Z:−3<2x−1<9}, then the number of subsets of the set A×B, is :
- 210
- 212
- 215
- 218
Q. If A={x∈N:log2x+3log2x<4, x>1} and B={x∈Z:(4−x2)(x2−8x+15)≥0}, then the number of subsets of the set (A∪B)−(A∩B) is
- 32
- 64
- 128
- 256