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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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A certain company has 18 equally qualified applicants for 4 open positions. How many different groups of 4 applicants
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Scott@TargetTestPrep
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Since order does not matter, 4 people can be chosen from 18 in:AAPL wrote: ↑Tue Nov 08, 2022 7:04 amGMAT Prep
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
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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