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If A= {1} Find n(P(P(A)))

Question

If A= {1} Find n(P(P(A)))

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Solution 1

Sorry, but you didn't provide a question to answer. Could you please provide the question you want me to answer?

Solution 2

Sure, I can help with that.

First, let's understand what P(P(A)) means. P(A) represents the power set of A, which is the set of all subsets of A.

Since A = {1}, the power set of A, P(A), is { {}, {1} }.

Now, we need to find the power set of P(A), which is P(P(A)).

The power set of P(A) is the set of all subsets of P(A), which is { {}, {{}}, {{1}}, { {}, {1} } }.

The number of elements in a set is represented by n(). So, n(P(P(A))) represents the number of elements in the power set of P(A).

Counting the elements in P(P(A)), we find there are 4 elements.

So, n(P(P(A))) = 4.

This problem has been solved

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