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)

# 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 ${2}^{n\left(A\right)×n\left(B\right)}$

1. A

both Statement- 1 and Statement- 2 are true and Statement- 2 is the correct explanation of Statement- 1.

2. B

both Statement- 1 and Statement- 2are true and Statement- 2 is not the correct explanation of Statement- 1.

3. C

Statement-1 is true but Statement- 2 is false.

4. D

Statement-1 is false but Statement- 2 is true.

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### Solution:

$\therefore$Number of relations from  A to B

$={2}^{n\left(A\right)×n\left(B}={2}^{3×3}={2}^{9}$

$⇒$Statement-1 is false but Statement-2 is true.

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