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Question

Two sets such that n(BA)=25;n(AB)=15 and n(AB)=10, then n(AB)=

A
30
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B
40
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C
50
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D
80
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Solution

The correct option is C 50
Given n(AB)=15;n(BA)=25
and n(AB)=10
Using the formula:
n(AB)=n(AB)+n(BA)+n(AB)
n(AB)=15+25+10=50

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n(A∪B) = n(A-B) + n(B-A) + n(A∩B)
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