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  4. If set A consists of 4 distinct elements while set B consists of 6 distinct elements then number of many one functions from A to B is

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Q. If set A consists of 4 distinct elements while set B consists of 6 distinct elements then number of many one functions from A to B is

Permutations and Combinations

Solution:

one - one function $={ }^6 C _4 \times 4 !=15 \cdot 4 !$
many one function $=6^4-15 \cdot 4 !=1296-360=936$