SOLUTION: A city council with nine members must elect a four person executive committee consisting of a mayor,deputy mayor, secretary, and treasurer. How many executive committees are posssi

Algebra ->  Permutations -> SOLUTION: A city council with nine members must elect a four person executive committee consisting of a mayor,deputy mayor, secretary, and treasurer. How many executive committees are posssi      Log On


   

Question 473730: A city council with nine members must elect a four person executive committee consisting of a mayor,deputy mayor, secretary, and treasurer. How many executive committees are posssible?
Found 2 solutions by jorel1380, ewatrrr:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
9C4=9x8x7x6x5!/4x3x2x5!=3x7x6=126..

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

A city council with nine members must elect a four person executive committee   consisting of a mayor,deputy mayor, secretary, and treasurer.

How many executive committees are posssible?(order important) 

9P4 = 9!/(9-4)! = 9!/5! = 3024 ways