Let A and B be two sets such that n(A) = p and n(B) = q, write the num – InterviewSolution

InterviewSolution

1.

Let A and B be two sets such that n(A) = p and n(B) = q, write the number of functions from A to B.

Answer»

For each value of set A,

We can have q functions as each value of A pair up with all the values of B.

So,

Total number of functions from A to B = q× q× q…..{p times}

= q^p

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