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If A is the...

Question

If $A$ is the set of even natural numbers less than $8$ and $B$ is the set of prime numbers less than $7$ , then the number of relations from $A$ to $B$ is

2^{9}

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9^{2}

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3^{2}

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2^{9} - 1

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Solution

The correct option is A $2^{9}$
$A = {2, 4, 6}, B = {2, 3, 5}$
$n (A \times B) = 3 \times 3 = 9$
Number of relations from $A$ to $B$ is $2^{9}$

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