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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 10 main​ dishes, 8 vegetable​ dishes, and 13 desserts. How many different meals are​ possible?

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sqdancefan

Answer:

  12,480

Step-by-step explanation:

For each of one, you can have any of the others. The total possible is the product of the numbers of possibilities for each:

  (# main dishes)×(# vegetables)×(# first dessert)×(# second dessert)

  = 10 × 8 × 13 × 12 = 12,480

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Since the desserts are different, there are 13 possibilities for the first one, but that choice is eliminated from the possibilities for the second one.

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