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Combinations

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Combinations

by swerve » Sat Feb 06, 2021 6:47 pm

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John has 5 friends who want to ride in his new car that can accommodate only 3 passengers at a time. How many different combinations of 3 passengers can be formed from the 5 friends?

A. 3
B. 8
C. 10
D. 15
E. 20

The OA is C

Source: GMAT Prep
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Re: Combinations

by Scott@TargetTestPrep » Tue Feb 23, 2021 5:35 am
swerve wrote: ↑
Sat Feb 06, 2021 6:47 pm
 John has 5 friends who want to ride in his new car that can accommodate only 3 passengers at a time. How many different combinations of 3 passengers can be formed from the 5 friends?

A. 3
B. 8
C. 10
D. 15
E. 20

The OA is C

Source: GMAT Prep
Solution:

The number of different combinations of 3 passengers can be formed from the 5 people is 5C3 = (5 x 4 x 3) / (3 x 2) = 60/6 = 10.

Answer: C

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