Question

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?

Answer 1

Answer:

360

Step-by-step explanation:

Answer 2

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:

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

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

$_{3}^{6}\textrm{C}=\frac{6\cdot 5\cdot 4\cdot 3!}{3!}$

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

$_{3}^{6}\textrm{C}=120$

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