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Lisa can choose 4 of her 9 friends to come with her family on a camping trip. How many ways can she choose the friends that come with her? a. 126 b. 756 c. 3024 d. 6561
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Lisa can choose 4 of her 9 friends to come with her family on a camping trip. How many ways can she choose the friends that come with her?

a. 126
b. 756
c. 3024
d. 6561

User Ahrengot
by
6.7k points

2 Answers

2 votes
The number of combinations of 9 friends taken 4 at a time is given by:

9C4=(9!)/(4!5!)=126
Answer choice a is correct.
User Sagar Suri
by
6.8k points
2 votes
The concept behind the problem above is Combination. The arrangement of the people chosen are not important so long as Lisa is able to choose 4 out of her 9 friends. This is 9C4 or combination of 9 taken four.
9C4 = 9! / ((9 - 4)!4!)) = 126
Therefore, Lisa can do the task in 126 ways.
User Roboles
by
8.0k points
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