SOLUTION: I need help to solve this world problem. Please help me, I need the formula. There are 14 people running for President, Vice President and Secretary. How many different arrangment

Algebra ->  Permutations -> SOLUTION: I need help to solve this world problem. Please help me, I need the formula. There are 14 people running for President, Vice President and Secretary. How many different arrangment      Log On


   

Question 403530: I need help to solve this world problem. Please help me, I need the formula.
There are 14 people running for President, Vice President and Secretary. How many different arrangments can be made?
Found 2 solutions by jim_thompson5910, sudhanshu_kmr:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The formula is n P r = n!/(n-r)!


In your case, n=14 and r = 3

So

14 P 3 = 14!/(14-3)! = 14!/11! = (14*13*12*11!)/11! = 14*13*12 = 2184


So there are 2,184 different arrangements.

Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

This problem is like that : In how many ways 14 persons can be seated on 3 chairs?
number of ways to select 3 persons from 14 = 14C3
no. of ways 3 persons can be arranged on 3 chairs = 3!

total no. of ways = 14C3 * 3! = 2184