trig. how many way can 3 offices be filled on a 12 member board?

2 ⤊

2006-08-09 18:15:31 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

Considering that the offices are different,
The answer is n!/ (n-p)! = 12*11*10 = 1320

2006-08-09 18:56:11 · answer #1 · answered by fred 055 4 · 2⤊ 0⤋

nCr = (n!)/(r!(n - r)!)

12C3 = (12!)/(3!(12 - 3)!)
12C3 = (12!)/(3! * 9!)
12C3 = 220

There are 220 different ways.

2006-08-10 09:25:11 · answer #2 · answered by Sherman81 6 · 0⤊ 0⤋