Question

At a competition with 5 runners

Answer 1

Permutation; number of ways = 60

Explanation:

Answer 2

B: Permutation; Number of ways = 60

Explanation:

First we have to decide if this is a problem of permutation or combination. The rule is:

• If the order matters, permutations will be used
• If order does not matter, combinations will be used

In this problem, they order of awarding the medals matters, so this is a permutation problem.

We have to award 3 medals among 5 runners. So this can be done in 5P3 ways:

`nPr=(n!)/((n-r)!)\\ \\ so\\ \\ 5P3=(5!)/((5-3)!)=60`

Therefore, there are 60 ways to award the medal. Therefore, the correct answer is B.