SOLUTION: A catering service offers 3 appetizers, 10 main courses, and 4 desserts. A banquet chairperson is to select 2 appetizers, 5 main courses, and 3 desser

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Question 1089934: A catering service offers
3
appetizers,
10
main courses, and
4
desserts. A banquet chairperson is to select
2
appetizers,
5
main courses, and
3
desserts for a banquet. In how many ways can this be done?
Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
.
In   .  .   ways,


where   is the number of combinations of 3 appetizer taken    2 at a time,    =  = 3;



        is the number of combinations of 10 main courses taken  5 at a time,    =  = 252;



        is the number of combinations of 4 desserts taken  3 at a time, =  = 4.


In all, there are  3 * 252 * 4 = 3024 combinations.

Solved.

On combinations, see the lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Combinatorics: Combinations and permutations".



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