Answer:
120 ways.
Step-by-step 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:
[tex]_{r}^{n}\textrm{C}=\frac{n!}{(n-r)!}[/tex]
[tex]_{3}^{6}\textrm{C}=\frac{6!}{(6-3)!}[/tex]
[tex]_{3}^{6}\textrm{C}=\frac{6\cdot 5\cdot 4\cdot 3!}{3!}[/tex]
[tex]_{3}^{6}\textrm{C}=6\cdot 5\cdot 4[/tex]
[tex]_{3}^{6}\textrm{C}=120[/tex]
Therefore, you can arrange your reindeer in 120 different ways.
