Question

You have 5 55 reindeer, Bloopin, Rudy, Ezekiel, Prancer, and Balthazar, and you want to have 3 33 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:

60 different ways.

Step-by-step explanation:

We have been given that you have 5 reindeer, Bloopin, Rudy, Ezekiel, Prancer, and Balthazar, and you want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line. We are asked to find the number of ways in which we can arrange reindeer.

We will use permutations to solve our given problem.

The number of way to choose r objects from a set of n objects is $^nP_r=\frac{n!}{(n-r)!}$.

Upon substituting our given values in permutations formula, we will get:

$^5P_3=\frac{5!}{(5-3)!}$

$^5P_3=\frac{5!}{2!}$

$^5P_3=\frac{5\times 4\times 3\times 2!}{2!}$

$^5P_3=5\times 4\times 3$

$^5P_3=60$

Therefore, you can arrange your reindeer in 60 different ways.