The department in which you work in your company has 24 employees.A team of 3 employees must be selected to represent the department at a companywide meeting in the headquarters of the company.How many different teams of 3 can be selected?
A)3
B)8
C)24
D)72
E)2024

Question

Quizplus · Accepted Answer

The number of ways to select a team of 3 employees from 24 can be calculated using the combination formula, which is $C(n, k) = \frac{n!}{k!(n-k)!}$, where $n$ is the total number of items (in this case, employees), and $k$ is the number of items to choose (in this case, team members). So, $C(24, 3) = \frac{24!}{3!(24-3)!} = \frac{24!}{3!21!} = \frac{24 \times 23 \times 22}{3 \times 2 \times 1} = 2024$.

The Department in Which You Work in Your Company Has