Combinations & Permutations
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20 Nov 2018, 12:10
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Hi guys, really stuck here. Here is the question I am looking at :
Mohammed is being treated to ice cream for his birthday, and he's allowed to build a three-scoop sundae from any of the thirty-one available flavors, with the only condition being that each of these flavors be unique. how many sundae combinations are available?
I did 31.30.29 but they used the combination formula as:
C(n,k)=n!(n−k)!k!
where n is the number of options and k is the size of the combination.
For the ice cream choices, there are thirty-one options to build a three-scoop sundae. So, the number of ice cream combinations is given as:
C(31,3)=31!(31−3)!3!=4495
I want to know how can I tell if i should use this formula or do that multiplication thing i was doing for this question earlier?