A fast food offers a special for $9.99. The customer can choose from

2 types of main courses,
3 types of sides,
7 drinks, and
3 sauces. Assuming you will pick exactly one of each how many different possibilities are there

1 answer

To find the total number of different possibilities for the fast food special, we can use the multiplication principle of counting. This principle states that if there are multiple choices, the total number of combinations can be calculated by multiplying the number of choices for each category.

Here's how we'll break it down for each category:

  • Main courses: 2 choices
  • Sides: 3 choices
  • Drinks: 7 choices
  • Sauces: 3 choices

Now, we multiply the number of choices in each category together:

\[ \text{Total possibilities} = (\text{Main courses}) \times (\text{Sides}) \times (\text{Drinks}) \times (\text{Sauces}) \]

\[ \text{Total possibilities} = 2 \times 3 \times 7 \times 3 \]

Calculating step-by-step:

  1. \( 2 \times 3 = 6 \)
  2. \( 6 \times 7 = 42 \)
  3. \( 42 \times 3 = 126 \)

Therefore, the total number of different possibilities is

\[ \boxed{126} \]