SOLUTION: How many different meals are possible? Astronauts each consume 3000 calories a day. One meal consist of a main dish a vegetable dish and two different desserts. The astronauts c

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Question 1084486: How many different meals are possible? Astronauts each consume 3000 calories a day. One meal consist of a main dish a vegetable dish and two different desserts. The astronauts can choose from 10 main dishes 8 vegetables dishes and 15 desserts. How many different meals are possible?
Answer by mathmate(429) About Me  (Show Source):
You can put this solution on YOUR website!
Question:
How many different meals are possible? Astronauts each consume 3000 calories a day. One meal consist of a main dish a vegetable dish and two different desserts. The astronauts can choose from 10 main dishes 8 vegetables dishes and 15 desserts. How many different meals are possible?

Solution:
The number of combinations of desserts is C(15,2)=15!/(2!13!)=105
The total number of meals is the product
10 (main) * 8 (vege) * 105 (desserts)
= 8400
That will last a couple of years!