123k views
0 votes
Suppose there are 18 freshman, 12 sophomores, 16 juniors, and 8 seniors running for the offices of president, vice president, and secretary. If no person can hold more than one office, in how many different ways could these people be elected to these positions?

User Aelphaeis
by
8.4k points

1 Answer

2 votes

Answer:

148824 ways

Explanation:

There are 54 total students and 3 different offices. The order matters because each office is unique, so we calculate the total permutations:


_(54)P_3=(54!)/((54-3)!)=(54!)/(51!)=54*53*52=148824

User Bbeckford
by
8.0k points