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
Algebra ->
Permutations
-> 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(52794) (Show Source):
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.
