Question

At a competition with 4 runners, 4 medals are rewarded for first place through fourth place. Each model is different. How many ways are there to award the medal?

Decide if the situation involves a permutation or a combination, and then find the number of ways to award the medals.

A. Permutation; number of ways =24
B. Combination; number of ways = 24
C. Permutation; number of ways = 1
D. Combination; number of ways =1

Answer 1

A. Permutation; number of ways =24

Answer 2

Option A. Permutation; number of ways = 24

Explanation:

At a competition with 4 runners, 4 medals are rewarded for place place to fourth place.

We have to tell in this situation we will use permutation or combination to find the number of ways, medals can be rewarded.

We know when order matters then permutation is applied.

So number of ways to award the medals will be = 4! = 4×3×2×1 = 24

Therefore, option A. permutation : number of ways = 24 is the answer.