In the following questions. a statement of assertion (Staternent-1) Is followed by a statement of reason (Statement-2). Mark the correct choice as :Statement-1 : Let A be the set of even natural numbers < 8 and B be the set of prime numbers < 7, then number of relations from A to B are 26. Statement-2 : Number of relations from the set A to B are 2n(A)×n(B)

A
both Statement- 1 and Statement- 2 are true and Statement- 2 is the correct explanation of Statement- 1.
B
both Statement- 1 and Statement- 2are true and Statement- 2 is not the correct explanation of Statement- 1.
C
Statement-1 is true but Statement- 2 is false.
D
Statement-1 is false but Statement- 2 is true.

$\begin{array}{ll} A = {2, 4, 6}, B = {2, 3, 5} \\ ∴ n (A) = 3, n (B) = 3 \end{array}$

$∴$ Number of relations from A to B

$= 2^{n (A) \times n (B} = 2^{3 \times 3} = 2^{9}$

$\Rightarrow$ Statement-1 is false but Statement-2 is true.

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