Brain Teasers
Combinations of Combinations
Fun: 


(2.29)
Difficulty: 


(1.54)
Puzzle ID: #22669
Submitted By: dntdodrugsulosr


Corrected By: MarcM1098








Submitted By: dntdodrugsulosr




A party is planned for Susie who is having her birthday in 2 weeks. At the party there is a choice of different party themes: castle theme, fiesta theme, animal theme, water theme and circus theme. You can pick 2 of these to use for her party (eg. a fiesta animal party).
How many combinations of parties are there?
How many combinations of parties are there?
Hint
Combinations, not permutations.Answer
It's 5!/(5-2)!2! which is the equation for a combination. This all comes out as 5*4*3*2*1/3*2*1*2*1. After it gets cleaned up, you are left with 5*4/2 which is 10, so little Susie can have 10 different possible parties.Hide Hint Show Hint Hide Answer Show Answer
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