Q20. - Algebra 1

Question

Margaret wants to order a sub at the local deli.

Find the number of possible orders of a sub with one topping and one dressing option.

Step-by-Step Solution

Answer

The total possible number of orders of sub with one topping and one dressing is 96.

Step 1. Write the given information.

Given that there are a total of 6 subs, 4 dressings and 4 toppings.

Step 2. Write the formula to calculate the total number possible orders.

Total number possible orders = ways choosing one sub out of 6 subs × ways choosing one dressing out of 4 dressing × ways choosing one topping out of 4 toppings.

Step 3. Description of step.

Calculate the total number of possible orders of sub with one topping and one dressing

$$\begin{gathered} N{=}^6{C}_1{\times }^4{C}_1{\times }^4{C}_1 \\ =6\times 4\times 4 \\ =96 \end{gathered}$$

Thus, the total possible number of orders of sub with one topping and one dressing is 96.