If set A has 5 elements, set B has 7 elements then the number of many one functions that can be defined from…

If set A has 5 elements, set B has 7 elements then the number of many one functions that can be defined from $A$ to $B$ is
  1. $7^5-7$
  2. $5^7-5$
  3. $5^7-{ }^7 P_5$
  4. $7^5-{ }^7 P_5$

Solution

Total number of functions from $A$ to $B=7^5$ Number of one one functions from $A$ to $B={ }^7 P_5$ Number of many one functions $=7^5-{ }^7 P_5$.

Asked in: AP EAMCET 2024 (22 May Shift 1)

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