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If X and Y are two sets such that n (X)...

If X and Y are two sets such that `n (X)=17, n (Y)= 23` and `n (Xuu Y)= 38` find `n (X nnY)` .

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To solve the problem, we will use the formula that relates the cardinalities of two sets and their union and intersection. The formula is: \[ n(X \cup Y) = n(X) + n(Y) - n(X \cap Y) \] Where: - \( n(X \cup Y) \) is the number of elements in the union of sets X and Y. - \( n(X) \) is the number of elements in set X. - \( n(Y) \) is the number of elements in set Y. ...
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