Question

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

Answer 1

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Answer 2

Answer:

Hence, the number of distinct functions from A to A which are not bijections is:

45936

Step-by-step explanation:

A is a set having 6 distinct elements.

Then the total number of function from A to A are:

$6^6$

As we know that the function which are one-one will be onto as well as the mapping are from same set to same set.

Hence, The number of function which are both one-one and onto are:

6!

Hence, the total  number of distinct functions from A to A which are not bijections is:

Total number of function- Number of bijective functions.

i.e.

$6^6-6!\\\\=45936$

Hence, the number of distinct functions from A to A which are not bijections is:

45936