If the set A contains 7 elements and set B contains 10 elements, then the number of one-one functions from A to B is:

Question

Smart Achievers · Accepted Answer

(2)

Ans. ${}^{10}C_{7} \times 7!$

Explanation:

Number of elements in set $A = 7$

Number of elements in set $B = 10$

Selection of 7 elements from set B is ${}^{10}C_{7}$

and these elements are related one-one to set A in $7!$ ways.

$∴$ Total one-one functions from set A to set B $= {}^{10}C_{7} \times 7!$

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