Math

Statistics Help

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.

  1. 👍 0
  2. 👎 0
  3. 👁 666
  1. The 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.

    1. 👍 0
    2. 👎 0
    posted by drwls

Respond to this Question

First Name

Your Response

Similar Questions

  1. statistics

    space shuttle astronauts each consume an average of 3000 calories per day. one meal normally consists of a main dish, a vegetable dish, and 2 different desserts. the astronauts can choose from 11 man dishes, 8 vegetable dishes,

    asked by kerri on November 9, 2011
  2. Probability & Statistics

    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

    asked by Becky77 on February 16, 2018
  3. Math

    Radius of earth 3,959 miles Space shuttle orbits 200 miles above earths Surface Space shuttle completes 220 degrees of a Revolution around earth in one day What is the average speed of the space Shuttle

    asked by Chris on October 21, 2012
  4. Math

    Radius of earth 3,959 miles Space shuttle orbits 200 miles above earths Surface Space shuttle completes 220 degrees of a Revolution around earth in one day What is the average speed of the space Shuttle

    asked by Chris on October 21, 2012
  5. statistics

    A researcher was interested in assessing the effectiveness of the Statistics Diet as compared to a regular low calorie diet on weight loss. In the study, obese participants were randomly assigned to one of two groups: (1) the

    asked by Matt on May 3, 2014
  6. math

    25. The Great Pyramids weigh 6x10^9 kilograms. The Space Shuttle weighs 2x10^6 kilograms. How many times heavier are the Pyramids than the Space Shuttle? A.The Pyramids are 3 times heavier than the space shuttle. B.The pyramids

    asked by Rabie on April 12, 2015
  7. statistics

    A researcher was interested in assessing the effectiveness of the Statistics Diet as compared to a regular low calorie diet on weight loss. In the study, obese participants were randomly assigned to one of two groups: (1) the

    asked by Matt on May 3, 2014
  8. statistics

    A researcher was interested in assessing the effectiveness of the Statistics Diet as compared to a regular low calorie diet on weight loss. In the study, obese participants were randomly assigned to one of two groups: (1) the

    asked by Mattl on May 2, 2014
  9. statistics

    A researcher was interested in assessing the effectiveness of the Statistics Diet as compared to a regular low calorie diet on weight loss. In the study, obese participants were randomly assigned to one of two groups: (1) the

    asked by April on April 30, 2014
  10. Chemistry

    The space shuttle environmental control system handles excess CO2 (which the astronauts breathe out; it is 4.0% by mass of exhaled air) by reacting it with lithium hydroxide, LiOH, pellets to form lithium carbonate, Li2CO3 , and

    asked by Anonymous on October 13, 2017

More Similar Questions