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

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

KCETKCET 2018Sets

Solution:

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