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At a competition with 5 runners, medals are awarded for first, second, and

third places. Each of the 3 medals is different. How many ways are there to
award the medals?
Decide if this is a permutation or a combination, and find the number of ways
to award the medals.

At a competition with 5 runners, medals are awarded for first, second, and third places-example-1
User Lee Duhem
by
7.3k points

2 Answers

2 votes

Answer:

a

Explanation:

thanks

User Callanbr
by
8.1k points
6 votes

Answer:

B: Permutation; Number of ways are 60

Explanation:

At a competition with 5 runners, medals are awarded for first, second, and third places.

Each of the 3 medals is different.

This is a case of Permutation and the Number of ways are 60.

We have to award 3 medals among 5 runners.

This can be done in 5P3 ways.

=
(5!)/((5-3)!)

=
(5*4*3*2*1)/(2*1)

=
5*4*3=60

Therefore, the answer is option A.

User Derick
by
8.2k points