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Question: If two sets A and B contain m and n elements respectively; number of functions f:A→B can be...

If two sets A and B contain m and n elements respectively; number of functions f:A→B can be

A

mn

B

nm

C

mn

D

mPn

Answer

nm

Explanation

Solution

Let A = {a1, a2, a3 ... am} and B = {b1, b2, b3.... bn}

For each element of A, there are n possible images

∴ Number of ways = n x n x n x ... upto m times= nm