Question

A restaurant has a special deal where you can build your own meal from certain selections in the menu. The number of selections available in each category is shown in the table. If a person selects one of each item, how many different meals can be ordered?

Answer 1

84,672 different meals

Explanation:

Since there are 12 drink choices, we can have 12 meals with a different drink choice.

For each drink choice we can have one of seven appetizers. Therefore the combination is 12 x 7 = 84 possible combinations

For each of the above combinations we have 8 possible choices for the main entry. Thus total combos so far = 84 x 8

and so on

Thus for the number of selections shown for each category, the total possible combinations for a meal

= 12 x 7 x 8 x 14 x 9

= 84, 672 combinations