Q42 / 160 · AP EAMCET 2024 (22 May Shift 1) · Mathematics

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

  • A
    $7^5-7$
  • B
    $5^7-5$
  • C
    $5^7-{ }^7 P_5$
  • Correct answer
    D
    $7^5-{ }^7 P_5$

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 $=7^5-{ }^7 P_5$.

Hence, the correct answer is option: 'D'.

Relevant Questions