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Question

Mathematics Question on Binary operations

The number of bijective function from a set A to itself when A contains 106 elements is

A

106

B

(106)2(106)^2

C

106!

D

21062^{106}

Answer

106!

Explanation

Solution

If O(A) = n, then bijections from A onto A is n! \therefore No. of bijections from A containing 106 elements to itself = 106!.