107k views
0 votes
Jenna is at a fair with four friends. They all want to ride the roller coaster, but only three people can fit in a car. How many different groups of three can the five of them make

1 Answer

11 votes

Answer:

They can make 10 different groups of three.

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:


C_(n,x) is the number of different combinations of x objects from a set of n elements, given by the following formula.


C_(n,x) = (n!)/(x!(n-x)!)

How many different groups of three can the five of them make?

Combinations of 3 from a set of 5. So


C_(5,3) = (5!)/(3!(5-3)!) = 10

They can make 10 different groups of three.

User AngelWarrior
by
8.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories