164k views
3 votes
You have 6 reindeer, Prancer, Rudy, Balthazar, Quentin, Jebediah, and Lancer, and you want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line. How many different ways can you arrange your reindeer?

User Stivlo
by
8.1k points

1 Answer

4 votes

Answer:

120 ways.

Explanation:

We have been given that you have 6 reindeer, Prancer, Rudy, Balthazar, Quentin, Jebediah, and Lancer, and you want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line.

We will use permutation formula to solve our given problem as:


_(r)^(n)\textrm{C}=(n!)/((n-r)!)


_(3)^(6)\textrm{C}=(6!)/((6-3)!)


_(3)^(6)\textrm{C}=(6\cdot 5\cdot 4\cdot 3!)/(3!)


_(3)^(6)\textrm{C}=6\cdot 5\cdot 4


_(3)^(6)\textrm{C}=120

Therefore, you can arrange your reindeer in 120 different ways.

User Ossek
by
7.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories