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Question

Question: Let A = {x<sub>1</sub>, x<sub>2</sub>,......x<sub>m</sub>}, B = {y<sub>1</sub>, y<sub>2</sub> .........

Let A = {x1, x2,......xm}, B = {y1, y2 ........yn} then total number of functions f : A → B is equal to

A

nm

B

mn

C

m!

D

n!

Answer

nm

Explanation

Solution

Any element of set A, say xi, can be connected with the elements of set B in n ways. Hence these are exactly nm functions.