If $n(X)=5$ and $n(Y)=7$, then the number of relations on ${X} \times {Y}$ is $2^{5 {m}}$. The value of '${m}$' is

JEE MATHEMATICS MCQ: RELATIONS

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Understanding +4 | -1

n(X)=5

and

n(Y)=7

, then the number of relations on

{X} \times {Y}

2^{5 {m}}

. The value of '

{m}

' is

View answer and explanation

Correct option: A

7 is the correct answer because the number of relations on X x Y is 2^(n(X) * n(Y)), so 5m = 5 * 7, thus m = 7.

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