How many ways are there to choose a committee of 3 people from a group of 5 people?

Solution:

The combination formula is

nCr = n!/ r! (n - r)!

Where n is the total number of items

r is the number of items selected at once

It is given that

n = 5

r = 3

Substituting the values in the formula

5C₃ = 5!/ [3! (5 - 3)!]

By further calculation

5C₃ = [5 × 4 × 3!]/ [3! × 2 × 1]

5C₃ = 20/2

5C₃ = 10

Therefore, there are 10 ways to choose a committee of 3 people from a group of 5 people.

---

How many ways are there to choose a committee of 3 people from a group of 5 people?

Summary:

There are 10 ways to choose a committee of 3 people from a group of 5 people.