Q21. - Algebra 1

Question

Margaret wants to order a sub at the local deli.

Find the number of possible ham subs with mayonnaise, any combination of toppings or no toppings at all.

Step-by-Step Solution

Answer

The total possible number of orders of sub with mayonnaise and any combination toppings or no topping is 102.

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 × 1 + total number of subs × total combinations of toppings.

Step 3. DESCRIPTION OF STEP.

Calculate the total number of possible orders of sub with mayonnaise and any combination toppings or no topping

$$\begin{gathered} N=6\times 1+6\times 2^4 \\ =6+6\times 16 \\ =6+96 \\ =102 \end{gathered}$$

Thus, the total possible number of orders of sub with mayonnaise and any combination toppings or no topping is 102.