Question

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

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

$^nC_r= \frac{n!}{r!(n-r)!}$

Here, n= 11, r= 3

Therefore, total number of ways is given by

$^{11}C_3= \frac{11!}{3!(11-3)!}\\ \\ =\frac{11!}{3!8!}\\ \\ =\frac{8!\times 9 \times 10 \times 11}{3!8!}\\ \\ =\frac{9 \times 10 \times 11}{6}\\ \\ =165$

A is the correct option.