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Question

A and b are two sets such that n(A)=3 and n(B)=6.
Find (i) minimum value of n(AB)
(ii) maximum value of n(AB)

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Solution

A3
B6
Minimum out of 6 elements of Set B, 3 elements are identical to the set A. In this case AB=B and it will have 6 elements
Maximum AB elements condition, A and B are disjoint sets, that no elements will be common to them, then
n(AB)=n(A)+n(B)
6+3=9

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