Question

Stocking a store A clothing store sells pure wool and polyester-wool suits. Each suit comes in three colors and ten sizes. How many suits are required for a complete assortment?

Short answer

The answer is$720.$

Step-by-step solution

Step 1. Given information.

$3$colors and $10$sizes are given.

Step 2. Calculation.

We calculate the question by following the rule of number of combinations-

$$\begin{gathered} C\left(10,3\right)=\frac{10!}{\left(10-3\right)!} \\ =\frac{10!}{7!} \\ =\frac{10\times 9\times 8\times 7!}{7!} \\ =720 \end{gathered}$$