KCET2018MathematicsFunctions
( A ) is a set having ( 6 ) distinct elements. The number of distinct functions from ( A ) to ( A ) which are notbijections is
Options
- A( 6 !-6 )
- B( 6⁶-6 )
- C( 6⁶-6 ! )
- D6!
Correct answer
C. ( 6⁶-6 ! )
Step-by-step solution
Number of distinct elements are ( 6 ) So, number of distinct functions ( (A A) ) which are not bijections is Total ( - ) Bijections ( =6⁶-6 ! )