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A certain company has 18 equally qualified applicants for 4 open positions. How many different groups of 4 applicants

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by AAPL » Tue Nov 08, 2022 7:04 am
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A certain company has 18 equally qualified applicants for 4 open positions. How many different groups of 4 applicants can be chosen by the company to fill the positions if the order of selection does not matter?

A. 18
B. 72
C. 180
D. 1,260
E. 3,060

OA E
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Re: A certain company has 18 equally qualified applicants for 4 open positions. How many different groups of 4 applicant

by Scott@TargetTestPrep » Thu Nov 10, 2022 5:43 pm
AAPL wrote: ↑
Tue Nov 08, 2022 7:04 am
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A certain company has 18 equally qualified applicants for 4 open positions. How many different groups of 4 applicants can be chosen by the company to fill the positions if the order of selection does not matter?

A. 18
B. 72
C. 180
D. 1,260
E. 3,060

OA E
Since order does not matter, 4 people can be chosen from 18 in:

18C4 = 18!/(4! x 14!) = (18 x 17 x 16 x 15)/4! = (18 x 17 x 16 x 15)/(4 x 3 x 2) = 3 x 17 x 4 x 15 = 3,060 ways.

Answer: E

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