Question 955513: there are 3 different positions available in a business firm. if there are 15 applicants, in how many ways can the firm fill the position?
That's 15 applicants choose 3
15 Choose 3 = 15C3 =
Cancel the 3 into the 15, getting 5
Cancel the 2 into the 14, getting 7
Then you have just
= 455
Edwin