Math, asked by suneharaneja, 9 months ago

If there are two sets A and B such that n(AUB)=18 and n(A' intersection B)=3, and n(a intersection B)= 5, find the value of n(A intersection B)

Answers

Answered by MaheswariS
5

\underline{\textsf{Given:}}

\mathsf{n(A{\cup}B)=18}

\mathsf{n(A'{\cap}B)=3}

\mathsf{n(A{\cap}B')=5}

\underline{\textsf{To find:}}

\mathsf{n(A{\cap}B)}

\underline{\textsf{Solution:}}

\textsf{We know that,}

\textsf{For any two sets, A and B}

\mathsf{n(A{\cup}B)=n(A{\cap}B')+n(A{\cap}B)+n(A'{\cap}B)}

\mathsf{15=3+n(A{\cap}B)+5}

\mathsf{15=8+n(A{\cap}B)}

\mathsf{n(A{\cap}B)=15-8}

\implies\boxed{\mathsf{n(A{\cap}B)=7}}

Answered by oks90
7

Step-by-step explanation:

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