swerve wrote: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
From 18 applicants, the number of ways to choose 4 = 18C4 = (
18*17*
16*15)/(
4*
3*2*1) = (
3*17*
4*15) = 51*60 = 3060.
The correct answer is
E.
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