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Question

# For any two finite sets A and B. Which of the following is/are true?

A
n(A)=n(AB)+n(AB)
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B
n(A)=n(BA)+n(AB)
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C
n(A)=n(AB)n(BA)
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D
None of these
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Solution

## The correct options are A n(A)=n(A−B)+n(A∩B) C n(A)=n(A∪B)−n(B−A)n(A)=n(A−B)+n(A∩B) Number of elements in A is equal to number of elements only in A plus number elements in both A and B. n(A)=n(A∪B)−n(B−A) Number of elements of set is equal A is equal to difference of number of elements in set A or B and number elements only in B

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