Answer:
They can make 10 different groups of three.
Step-by-step explanation:
The order in which the people are in the car is not important, so we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many different groups of three can the five of them make?
Combinations of 3 from a set of 5. So
[tex]C_{5,3} = \frac{5!}{3!(5-3)!} = 10[/tex]
They can make 10 different groups of three.
