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? Choose the correct choice from the following
A) 18  B) 72  C) 180  D) 1,260  E) 3,060
This is a combination question since order is not important.   n!   k! (n-k!)   = 18!   4! 14!   = 18 * 17 * 16 * 15 * 14!   4 * 3 * 2 * 1 * 14!   = 3060 (Ans: 3,060)
<result>E</result>
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?