Geometry Permutations

Question

Which of the following situations can be modeled by a permutation or an expression containing permutations?

There is more than one correct answer choice. Select all correct answer choices.

Figuring out how many different ways you can arrange your collection of 57 blu-ray movies.

Choosing a captain and co-captain from the members of a varsity cheer squad.

Calculating how many different ways a president and Vice President could be elected from the student council members.

Giving ribbons to all of the finishers of a half marathon race.

Grouping all your horror movies together in your DVD collection.

Organizing your closet by color.

Answer 1

Hi Jacob,

I'm sure you,ve heard your teacher say - Use permutations when order matters. Let's look at the possibilities

Figuring out how many different ways you can arrange your collection of 57 blu-ray movies.

Since each arrangement will be different order matters, so this uses permutations

Choosing a captain and co-captain from the members of a varsity cheer squad.

Order matters here too. Once you pick a captain, s/he can't also be the co-captain

Calculating how many different ways a president and Vice President could be elected from the student council members.

Same thinking here, order still matters

Giving ribbons to all of the finishers of a half marathon race.

No permutations here. Everyone gets a ribbon regardless of order

Grouping all your horror movies together in your DVD collection.

No mention of grouping in any order among the horror movies. No permutations

Organizing your closet by color

Same as horror movies - no ordering of clothes within colors No permutations