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The image appears to discuss the number of elements in a set, possibly related to a power set. Here's the breakdown:

- It states \( n = 5 \).
- Then it mentions the "number of elements in P(A)", which likely refers to the power set of a set \( A \) with \( n = 5 \) elements.
- The formula used is \( 2^n \), which gives the number of subsets (including the empty set) in a power set.
- So, \( 2^n = 2^5 = 32 \), which is the number of elements in the power set.

The power set \( P(A) \) contains all possible subsets of \( A \), and if \( A \) has 5 elements, its power set will have \( 2^5 = 32 \) subsets.

Would you like more details on power sets or related topics? Here are 5 related questions you might consider:

1. What is a power set, and why is its size \( 2^n \)?
2. How do you calculate the number of subsets for different values of \( n \)?
3. What is the significance of the empty set in a power set?
4. Can you explain how power sets apply in combinatorics?
5. How would the number of elements change for \( n = 6 \) or higher?

**Tip**: For any set with \( n \) elements, the power set always has \( 2^n \) subsets, including the empty set and the set itself.

Given a set with n = 5 elements, how many subsets (elements in the power set P(A)) can be formed?

Learn how to calculate the number of subsets in the power set P(A) for a set A with 5 elements. Using the formula 2^n, this solution shows the process of finding that the power set contains 32 subsets. Suitable for high school students studying set theory and combinatorics.

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