Question

Space shuttle astronauts each consume an average of 3000 calories per day. One meal normally consists of a main dish, a vegetable dish, and two different desserts. The astronauts can choose from 11 main dishes, 7 vegetable dishes, and 12 desserts. How many different meals are possible?

Answer 1

Okay, here we have this:

Considering the provided information, we are going to calculate how many different meals are possible, so we obtain the following:

There are 11 ways to choose a main dish, 7 ways to choose a vegetable, 12 ways to choose the first dessert, and 11 ways to choose the second dessert. Then:

We multiply to find the possible number of combinations:

`\begin{gathered} 11\cdot7\cdot12\cdot11 \\ =10164 \end{gathered}`

Finally we obtain that there are 10164 different meals possible.