SOLUTION: The eight-person board of directors of the Acme Corporation is to elect a president, a vice-president, and a treasurer, and the remaining members will be a committee to study futur

Algebra ->  Permutations -> SOLUTION: The eight-person board of directors of the Acme Corporation is to elect a president, a vice-president, and a treasurer, and the remaining members will be a committee to study futur      Log On


   



Question 1136197: The eight-person board of directors of the Acme Corporation is to elect a president, a vice-president, and a treasurer, and the remaining members will be a committee to study future expansion. In how many ways can these officers be elected?
Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
.

A president, a vice-president, and a treasurer can be elected in  8*7*6 = 336 ways.    ( ! PERMUTATIONS 3 of 8 )



The remaining 5 of eight-person board of directors do not need to be elected, since they AUTOMATICALLY are the members 
of the committee to study future expansion.


          Wish all of them further success in their activity !


ANSWER.  336 ways.

Solved.