Final answer:
The number of elements in the power set P(A), where set A contains 5 elements, is calculated by 2 raised to the power of the number of elements in set A. Therefore, the power set P(A) contains 2 to the power of 5, which is 32 elements, corresponding to Option A.
Step-by-step explanation:
If the set A contains 5 elements, then the number of elements in the power set P(A) is calculated by using the formula 2n, where n is the number of elements in set A. Since set A contains 5 elements, we raise 2 to the power of 5 to find the number of elements in the power set, which is 25 = 32.
To clarify further, a power set consists of all possible subsets of a set, including the empty set and the set itself. Each element in set A can either be included or not included in a subset, which is why there are 2 options for each element. Since there are 5 elements, we multiply these two choices together five times, which is equal to 25 or 32. Therefore, the answer is Option A: 32.