Statement 1. Let A and B be two sets having p and q elements respectively

Statement 1. Let A and B be two sets having p and q elements respectively, where q > p Then the number of functions from set A to set B is q^p.
Statement 2. The total number of selection of p different objects out of objects is qC_p.

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Question

Explanation: Statement 1. n(A) = p and n(B) = q where q > p

So, the number of functions from A → B = q^p

Hence, it is a true statement.

Statement 2. The total number of selections of p different object out of q objects is qC_p.

It is also a true statement and it is a correct explanation for statement-1 also.

Final Answer:

The correct option is (A) Statement 1. is true, Statement 2 is true and Statement 2 is the correct explanation of Statement-1.

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