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Question

If X and Y are two sets such that (XY) has 60 elements, X has 38 elements and Y has 42 elements, how many elements do (XY) have?


A

11

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B

20

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C

13

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D

None of these

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Solution

The correct option is B

20


Explanation for the correct option.

We know that the relation between the number of elements in a set is as follows;

nXY=nX+nY-nXY60=38+42-nXYnXY=80-60n(XY)=20

Hence, option B is correct.


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