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Question

If n(A)=m and n(B)=n ; then n(A×B)=mn.
What is the value of n(A×B)=mn. if m=6 and n=8

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Solution

Cartesian product of two sets is obtained by pairing each element of first set with each element of second set.
Given : n(A)=m and n(B)=n
Now, n(A×B)=n(A)×n(B)=m×n=mn.
Thus when m=8 and n=6, we have n(A×B)=48

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