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Question

If A and B are two sets and U is the universal set such that n (U) = 700, n(A) = 200, n(B) = 300 and n(AB)=100, then what is the value of (AB) ?

A
100
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B
200
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C
300
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D
400
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Solution

The correct option is C 300
From the given data,
n(U) = 700, n(A) = 200, n(B) = 300 and n(AB)=100.
We know that,
n(AB)=n(A)+n(B)n(AB)
= 200 + 300 - 100 = 400
Now, n(AB)=n(U)n(AB)
= 700 - 400 = 300

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