Assertion : If $A=\{x, y, z\}$ and $B=\{3,4\}$, then number of relations from $A$ to $B$ is $2^5$. Reason : Number of relations from $A$ to $B$ is $2^{n(A) \times n(B)}$.

Assertion is correct, Reason is correct; Reason is a correct explanation for assertion

Assertion is correct, Reason is correct; Reason is not a correct explanation for Assertion

Assertion is correct, Reason is incorrect

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JEE MATHEMATICS MCQ: RELATIONS

1 Easy

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Understanding +4 | -1

Assertion : If

A=\{x, y, z\}

and

B=\{3,4\}

, then number of relations from

A

B

2^5

.

Reason : Number of relations from

A

B

2^{n(A) \times n(B)}

View answer and explanation

Correct option: D

Assertion is incorrect, Reason is correct

Assertion is incorrect, Reason is correct because the number of relations from A to B is 2^(n(A) * n(B)), and in this case, it should be 2^(3*2) = 2⁶, not 2⁵.

JEE MATHEMATICS MCQ: RELATIONS

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