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.

Question

Frank Sampson

Mathematics

11 March, 12:08

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.

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Answers (1)

Know the Answer?

Hull · Answer 1

A, B, E

Step-by-step explanation:

Permutations are involved when order matters, as in lane assignment, passwords, and seating charts.

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.