Wednesday

November 26, 2014

November 26, 2014

Posted by **Karinna** on Sunday, December 16, 2007 at 11:58pm.

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 astronaus can choose from 10 main dishes, 8 vegetable dishes, and 13 desserts. How many different meals are possible.

The back of the book says 6240, but I have no idea how they got that answer.

- Math -
**drwls**, Monday, December 17, 2007 at 1:08amThe tricky part is the number of ways (combinations) of choosing 2 DIFFERENT desserts from 13. It does not matter in what order the two desserts are picked. That number of combinations is

13!/(11!*2!) = (13*12)/2 = 78.

We are assuming that they are required to have two different desserts. Zero or one dessert is "not an option", as they say.

Now multiply that 78 by the possible number of main dishes (8) and the number of vegetable dishes (10). You will get the answer.

**Answer this Question**

**Related Questions**

statistics - space shuttle astronauts each consume an average of 3000 calories ...

related rates - After blast-off, a space shuttle climbs vertically and a radar-...

physics please help!! - A satellite dish is designed to pick up radio waves from...

math , correction - #1 A menu offers a choice of 3 salads, 8 main dishes, and 5 ...

A quick algebra question - Larry is having dinner at a restaurant that offers 6 ...

Math - Radius of earth 3,959 miles Space shuttle orbits 200 miles above earths ...

Math - Radius of earth 3,959 miles Space shuttle orbits 200 miles above earths ...

math - A candy dish contains 10 red, 10 orange, and 10 black gumdrops. A second ...

math - Ted is hosting a dinner party. He has a the choice of serving chicken, ...

math - Ted is hosting a dinner party. He has a the choice of serving chicken, ...