Answer :

Given:


n(A) = 37


n(B) = 26


n(A B) = 51


To Find: n(A B)


We know that,


|A B| = |A| + |B| - |A B| (where A and B are two finite sets)


Therefore,


n(A B) = n(A) + n(B) – n(A B)


51 = 37 + 26 – n(A B)


n(A B) = 63 – 51 = 12


Therefore,


n(A B) = 12


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