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Mathematics
The number of bijective functions from the set A to itself, if A contains 108 elements is -
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Q. The number of bijective functions from the set $A$ to itself, if $A$ contains $108$ elements is -
COMEDK
COMEDK 2015
Relations and Functions - Part 2
A
$180$
10%
B
$(180)!$
30%
C
$(108)^!$
68%
D
$2^{108}$
17%
Solution:
Since number of one-one onto functions from a set A having n elements to itself is n!.
We have the set A that contains 108 elements, so the number of bijective functions from set A to itself is 108!