SOLUTION: From a pool of 25 candidates, the offices of president, vice-president, secretary, and treasurer must be filled. In how many ways can the offices be filled?
In 25*24*23*22 ways.
The president can be elected in 25 ways from 25 candidates.
The vice-president can be elected in 24 ways from the remaining 24 candidates.
The secretary . . .
The treasurer . . .