Subsets

The number of subsets of a set is given by the formula: where is the number of elements in the set. In this case, the set contains 5 elements. Therefore, the number of subsets is: Thus, the set will have 32 subsets.

The correct option is (D):

Given the set A = {p, q}, we want to find the number of subsets of A.

The number of subsets of a set with n elements is given by 2ⁿ.

Here, A has 2 elements (n = 2), so the number of subsets is 2² = 4.

These subsets are:

1. The empty set: ∅
2. {p}
3. {q}
4. {p, q}

Therefore, the correct answer is (2) 4.