A is a set containing \( n \) elements. A subset \( P \) of \( A \)...

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A is a set containing \( n \) elements. A subset \( P \) of \( A \) is chosen. The set \( A \) is reconstructed by replacing the elements of \( P \). Then a subset \( Q \) of \( A \) is chosen, then the number of ways of choosing \( P \) and \( Q \) such that \( P \cap Q \) contains exactly math xmlns=http://www.w3.org/1998/Math/MathMLmn2/mn/math elements.
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