SOLUTION: A catering service offers
4
appetizers,
6
main courses, and
7
desserts. A banquet chairperson is to select
3
appetizers,
3
main courses, and
6
d
Algebra ->
Permutations
-> SOLUTION: A catering service offers
4
appetizers,
6
main courses, and
7
desserts. A banquet chairperson is to select
3
appetizers,
3
main courses, and
6
d
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Question 1043004: A catering service offers
4
appetizers,
6
main courses, and
7
desserts. A banquet chairperson is to select
3
appetizers,
3
main courses, and
6
desserts for a banquet. In how many ways can this be done? Answer by Edwin McCravy(20064) (Show Source):
That's:
4 appetizers choose 3, = 4C3
and
6 main courses choose 3, = 6C3
and
7 desserts choose 6, or 7C6.
"And" means "times", so the answer is
(4C3)(6C3)(7C6) = (4)(20)(7) = 560 ways.
Edwin
