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 Each of the 3 medals is different How many ways are there to award the meda class=

Respuesta :

Answer:

a

Step-by-step explanation:

thanks

Answer:

B: Permutation;  Number of ways are 60

Step-by-step 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.

= [tex]\frac{5!}{(5-3)!}[/tex]

= [tex]\frac{5\times4\times3\times2\times1}{2\times1}[/tex]

= [tex]5\times4\times3=60[/tex]

Therefore, the answer is option A.