Answer :
A permutation, since once you choose one member to be in the team, that same person cannot be chosen again. A combination requires us to be able to freely choose the same item in a set as many times as we may wish. A permutation restricts the amount of times we can choose an item in a set.
A combination is denoted by 'C'. In the case where 5 players are needed to represent the team at a fundraiser, a combination must be used.
What are Permutation and Combination?
Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.
The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.
[tex]^nC_r = \dfrac{n!}{(n-r)!r!}\ , \ \ ^nP_r = \dfrac{n!}{(n-r)!}[/tex]
where,
n is the number of choices available,
r is the choices to be made.
Given that you need to choose 5 players to represent the team at a fundraiser. Therefore, you need to just select 5 players therefore, you should use a combination here.
If there was a condition where the players needed to be selected and also they need to be seated in different ways that case permutation can be used. This is because in that case 5 players are needed to be selected and then arrange in the given seating arrangement.
Since in the given case players are only needed to be selected. Therefore, we need to use a combination.
Learn more about Permutation and Combination:
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