Question

How many ways can an employer send 3 employees to a job fair if she has 11 employees?

165

6,652,800

40,320

990

Answer 1

We have to find the number of ways an employer send 3 employees to a job fair if she has 11 employees.

This is the problem from combination.

The formula for combination is given by

`^nC_r= (n!)/(r!(n-r)!)`

Here, n= 11, r= 3

Therefore, total number of ways is given by

`^(11)C_3= (11!)/(3!(11-3)!)\\ \\ =(11!)/(3!8!)\\ \\ =(8!* 9 * 10 * 11)/(3!8!)\\ \\ =(9 * 10 * 11)/(6)\\ \\ =165`

A is the correct option.