Which of the following situations involve a permutation?
Select ALL the correct answers.

A) Determining how many different ways 7 runners can be assigned lanes on a track for a race

B) Determining how many 5-letter passwords can be made using the word "graph."

C) Determining how many different groups of 10 students can be chosen to go on a field trip from a group of 25 students

D) Determining how many different ways to choose 3 employees from a group of 9 employees.

E) Determining how many different seating charts can be made placing 6 people around a table

F) Determining how many different ways 4 cashiers can be chosen to work from a group of 6 cashiers.

When the end result is a "group of 10 students", "3 employees", or "4 cashiers", clearly order does not matter. One student, employee, or cashier is as good as another in these cases.

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joaobezerra joaobezerra · Answer 2 · 2022-01-24T13:04:00+01:00

Using it's definition, it is found that these following situations involve permutations:

A) Determining how many different ways 7 runners can be assigned lanes on a track for a race.

B) Determining how many 5-letter passwords can be made using the word "graph."

E) Determining how many different seating charts can be made placing 6 people around a table.

When are permutations used?

Permutations are used when the order of the elements is important.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem:

In items A, B and E, the order is important, for example, "rgaph" is a different word than "graph", hence they are permutations.

In items C, D and F, the order is not important, hence they are not permutations, they are combinations.

You can learn more about permutations at brainly.com/question/25247153