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At a competition with 6 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.

Answer :

Answer: 120 different ways. It is a permutation.

Step-by-step explanation:

Because 1st, 2nd, and 3rd are different positions and the order of placing matters, this is a permutation. (In Combinations, the order doesn’t matter, like in choosing people to be on a team without any positions). The calculation is 6x5x4 because there are 6 competitors who could get first, 5 who could get second (the 6th already has first place), and 4 who could get 3rd ( the other two already have 1st and 2nd place).

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Rewritten by : Barada

The number of ways to award the medals in 120 different ways.

What is permutation?

When the order of the arrangements counts, a permutation is a mathematical technique that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.

Given

Because 1st, 2nd, and 3rd are different positions and the order of placing matters, this is a permutation. (In Combinations, the order doesn’t matter, like in choosing people to be on a team without any positions). The calculation is 6x5x4 because there are 6 competitors who could get first, 5 who could get second (the 6th already has a first place), and 4 who could get 3rd ( the other two already have 1st and 2nd place).

To know more about permutation refer to :

https://brainly.com/question/1216161

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