<PRE><B>Question 1084486</B>
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!
</PRE>