Question

Let A and B be any two sets such that n(B) = p, n(A) = q then the total number of functions f : A → B is equal to ______.

Answer 1

Let A and B be any two sets such that n(B) = p, n(A) = q then the total number of functions f : A → B is equal to p^q functions.

Explanation:

Any element of set A

Say x_i can be connected with the element of set B in p ways.

Hence, there are exactly p^q functions.