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

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

Relations and Functions - Part 2

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!.