SOLUTION: The student council at Redondo Beach high school has 25 members. If all members are eligible to serve as officers, how many ways can a President, a Vice President, a Treasurer and

Algebra ->  Permutations -> SOLUTION: The student council at Redondo Beach high school has 25 members. If all members are eligible to serve as officers, how many ways can a President, a Vice President, a Treasurer and      Log On


   

Question 1139225: The student council at Redondo Beach high school has 25 members. If all members
are eligible to serve as officers, how many ways can a President, a Vice President, a Treasurer and a Secretary be chosen from this group? Give an exact numerical answer.
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

ANSWER.  In  25*24*23*22 = 303600 ways.


Explanation


25 opportunities to choose a President;


then 24 to chose a Vice-President among 24 remained persons;


then  23 opportunities to choose a Treasurer among 23 remained persons;


and finally 22 opportunities to choose a Secretary among 22 remained persons.


It is a standard mantra to pronounce when you solve this kind of problems.