Let A be A Set Containing 10 Distinct Elements, Then The Total Number Of Distinct Functions From A to A is

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Question

Let A be a set containing 10 distinct elements, then the total number of distinct functions from A to A is

easy

Solution

Correct option is

10¹⁰

Each element can go to itself and the rest as well. Thus it can have 10 images. Similarly we can argue for other elements. Hence the total number of distinct functions from A to A is 10¹⁰.