Question

At a competition with 5 runners

Answer 1

Answer:

Permutation; number of ways = 60

Step-by-step explanation:

Answer 2

Answer:

B: Permutation;  Number of ways = 60

Step-by-step 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:

$nPr=\frac{n!}{(n-r)!}\\ \\ so\\ \\ 5P3=\frac{5!}{(5-3)!}=60$

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