If we have f:{a,b,c}->{1,2,3,4,5}f:{a,b,c}→{1,2,3,4,5}.What is the number of bijective functions?

1 Answer
George C.
Apr 25, 2017

00

Explanation:

There are no bijections between {a, b, c}{a,b,c} and {1, 2, 3, 4, 5}{1,2,3,4,5}.

A bijection can only exist between two finite sets if they have an equal number of elements, in which case there are n!n! possible bijections, where nn is the number of elements.

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