Math, asked by sagar33599, 10 months ago

If n(A) = 2, n(B)=3, then find the number of relation from A to B .​

Answers

Answered by MaheswariS
1

\underline{\textbf{Given:}}

\mathsf{n(A)=2\;and\;n(B)=3}

\underline{\textbf{To find:}}

\textsf{The number of relations from A to B}

\underline{\textbf{Solution:}}

\underline{\textbf{Relaton:}}

\textsf{Let A and B be two subsets. A relation from A to}

\textsf{B is a subset of A X B}

\textsf{No.of relations from A to B = No. of subsets of A X B}

\mathsf{=2^{n(A\,X\,B)}}

\mathsf{=2^{n(A)\,\times\,n(B)}}

\mathsf{=2^{2\,\times\,3}}

\mathsf{=2^{6}}

\mathsf{=64}

\therefore\textbf{The number of relations from A to B is 64}

\underline{\textbf{Find more:}}

If there are 512 relations from a set A= 2,3,5 to a setB, then the number of elements in B is​

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