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Question

If n(A)=3,n(B)=5and n(AB)=2 then n[(A×B)(B×A)]=


A

5

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B

3

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C

4

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D

6

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Solution

The correct option is C

4


Explanation of the correct option

Given: n(A)=3,n(B)=5,n(AB)=2

We know that,

(A×B)(B×A)=AB×BA(A×B)(B×A)=AB2AB=BAn(A×B)(B×A)=nAB2n(A×B)(B×A)=22n(A×B)(B×A)=4

Hence, option(C) i.e. 4 is the correct option.


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