Power Set Calculation | MCQs

Explanation

The power set P(A) of a set A with n elements has 2^n elements.

Here, A = {a, b, c, d, e} has 5 elements, so n = 5.

The number of elements in P(A) is 2^5 = 32.

Explanation

Given A = {x | x ∈ P ∧ 5 ≤ x ≤ 13}, where P is the set of prime numbers:

The prime numbers between 5 and 13 are 5, 7, 11, and 13.

So, A = {5, 7, 11, 13}, which has 4 elements.

The power set P(A) has 2^n elements, where n is the number of elements in A:

2^4 = 16