A catering service offers 10 appetizers, 6 main courses, and 4 desserts. A customer is to select 2 appetizers, 3 main courses, and 3 desserts for a banquet. In how many ways can this be done?
Added by Kara T.
Step 1
This can be done using the combination formula: C(n, k) = n! / (k!(n-k)!) In this case, n = 10 and k = 2. C(10, 2) = 10! / (2!(10-2)!) = 10! / (2!8!) = (10*9) / (2*1) = 45 So, there are 45 ways to choose 2 appetizers out of 10. Show more…
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