Question

You have 10 different styles of toilet paper stored in your house you plan to take out 3 types for each of the bathrooms in your house how many ways can you arrange them

Answer 1

Answer:

The correct answer is 720.

Step-by-step explanation:

There are 10 different styles of toilet paper available in the house.

We need to choose 3 types from these 10 styles.

Therefore number of ways we can select these 3 types are given by $\left[\begin{array}{ccc}10\\3\end{array}\right]$ ways = 120 possible ways.

Now we need to put these toilet paper in each of the 3 bathrooms. So we have possible 3! = 6 possible ways.

Therefore the number of ways one would select 3 toilet paper and then placing each of the bathrooms in the house is given by 120 × 6 possible ways = 720 ways.