Let A and B be Two Finite Sets Having m and n elements Respectively. Then The Total Number Of Mappings From A and B is

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Question

Let and be two finite sets having m and n elements respectively. Then the total number of mappings from A and B is

Solution

Correct option is

nm

Consider an element a it can be assigned to any of the n elements ofB i.e. it has an images. Similarly each of the m elements of A can have nimages in B. Hence the number of mappings is 

SIMILAR QUESTIONS

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Q7

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Q9

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Q10

The total number of injective mappings from a set with m elements of distinct functions from A to A is