SOLUTION: Four names are drawn from among the 24 members of a club for the offices of president, vice-president, treasurer and secretary. In how many different ways can this be done?

Algebra ->  Permutations -> SOLUTION: Four names are drawn from among the 24 members of a club for the offices of president, vice-president, treasurer and secretary. In how many different ways can this be done?      Log On


   



Question 980252: Four names are drawn from among the 24 members of a club for the offices of president, vice-president, treasurer and secretary. In how many different ways can this be done?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
24 choices for slot A
23 choices for slot B (we can't pick a person to fulfill 2 offices at the same time)
22 choices for slot C
21 choices for slot D


24*23*22*21 = 255,024

There are 255,024 ways to pick four names from twenty-four people total.