A is a set having 6 distinct elements. The number of distinct functions from A to A which are not bijections is

Question

A is a set having 6 distinct elements. The number of distinct functions from A to A which are not bijections is (A) 6! - 6 (B) 66 - 6  (C) 66 - 6! (D) 6!

Tardigrade Admin · Accepted Answer

Number of functions = nn = 66 Number of bijections = n! = 6! Number of functions which are not bijections = 66 - 6!

Q. A is a set having 6 distinct elements. The number of distinct functions from A to A which are not bijections is

$6! - 6$

$6^{6} - 6$

$6^{6} - 6!$

$6!$

Number of functions = $n^{n} = 6^{6}$
Number of bijections = n! = 6!
Number of functions which are not bijections = $6^{6} - 6!$

Q. A is a set having 6 distinct elements. The number of distinct functions from A to A which are not bijections is

6!−6

66−6

66−6!

6!

Number of functions = nn=66 Number of bijections = n! = 6! Number of functions which are not bijections = 66−6!

$6! - 6$

$6^{6} - 6$

$6^{6} - 6!$

$6!$

Number of functions = $n^{n} = 6^{6}$
Number of bijections = n! = 6!
Number of functions which are not bijections = $6^{6} - 6!$