You need to put your reindeer, Gloopin, Balthazar, Bloopin, Prancer, and Quentin, in a single-file line to pull your sleigh. However, Prancer and Balthazar are best friends, so you have to put them next to each other, or they won't fly. How many ways can you arrange your reindeer?

Question

Social Studies

Kahlua

18 December, 04:20

You need to put your reindeer, Gloopin, Balthazar, Bloopin, Prancer, and Quentin, in a single-file line to pull your sleigh. However, Prancer and Balthazar are best friends, so you have to put them next to each other, or they won't fly. How many ways can you arrange your reindeer?

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Answers (1)

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Layton Friedman · Answer 1

48

Explanation:

Because you have two reindeer that have to be always together you can treat them as a single place in your possibilities. That leaves you with 4 variables and because we are trying to find how many different combinations we can get, we use the formula n!.

In this case n = 4

4! = 4*3*2*1 = 24

You can always switch Prancer and Balthazar so all the options we had so far times 2.

24*2 = 48.