Let A be a set containing $ 10 $ distinct elements. Then the total number of distinct function from A to A, is

Question

Let A be a set containing $ 10 $ distinct elements. Then the total number of distinct function from A to A, is, $ 10 ! $, $ 10^{10} $, $ 2^{10} $, $ 2^{10}-1 $

MARKS App · Accepted Answer

If a set A has n elements and another set B contains r elements then total number of functions from A to B is r n as for each of the n elements of input,there would be r choices of output. Total number of distinct functions from A to A are r n i.e. 1 0 10 .

Search any question & find its solution

Looking for more such questions to practice?