Question

The number of bijective functions from set $A$ to itself when $A$ contains $106$ elements is

• A. $106$
• B. $(106{)}^2$
• C. $106!$
• D. $2^{106}$

Answer 1

Answer: (C)

$106!$

The number of bijections from $A$ to $A,$ will be $n!$ for $n$ elements is $A.$

Now there are $106,$ elements.

Hence the number of bijections will be $n!=\left(106\right)!$