Chapter 0.11, Problem 21E

To determine

The number of possible orders of sub with mayonnaise and any combination toppingsor no topping.

Answer to Problem 21E

  $N=102$

Explanation of Solution

Given:

Total number of subs = 6

Total number of topping = 4

Formula used:

Total number of combination = $2^n$

Where, $n$ is total number of items.

Calculation:

Total number possible orders = total number of subs × 1+total number of subs × total combinations of toppings

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

Conclusion:

Hence, the possible number of orders of sub with mayonnaise and any combination toppingsor no topping is 102.