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

mn
2^mn
mⁿ
n^m

easy

Solution

Correct option is

n^m

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