Q22. - Algebra 1

Question

Margaret wants to order a sub at the local deli.

Find the number of possible orders of a sub with any combination of dressing and/or toppings.

Step-by-Step Solution

Answer

The total possible number of orders of sub with any combination toppings and any combination dressings is 1536.

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 used.

Total number of combination possible for n items is given by $2^n$.

Total number possible orders = total number of subs ×combinations of dressings × total combinations of toppings

Step 3. DESCRIPTION OF STEP.

$\begin{array}{l}N=6\times 2^4\times 2^4\\ N=6\times 16\times 16\\ N=1536\end{array}$

Thus, the total possible number of orders of sub with any combination toppings and any combination dressings is 1536.