SOLUTION: An 18-member club is choosing its president,vice president,secretary,and treasurer. In how many ways can these four officers be chosen?

Algebra ->  Permutations -> SOLUTION: An 18-member club is choosing its president,vice president,secretary,and treasurer. In how many ways can these four officers be chosen?      Log On


   



Question 553219: An 18-member club is choosing its president,vice president,secretary,and treasurer. In how many ways can these four officers be chosen?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
P(n,r) = (n!)/((n-r)!)

P(18,4) = (18!)/((18-4)!)

P(18,4) = (18!)/(14!)

P(18,4) = (18*17*16*15*14!)/(14!)

P(18,4) = 18*17*16*15

P(18,4) = 73440


So there are 73440 ways.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim