First second and third are to be awarded to three different

First, second and third are to be awarded to three different people. If there are teneligible candidates, how many outcomes are possible?

Solution

First we need to choose 3 candidates from ten eligible candidates. This is done in: C(10,3) =120 ways.

Next we need to arrange these 3 selected in candidates in three positions. This is done in 3! ways

Hence total outcomes are:120*6=720