A tricky math question…?
If there are 9 flavors of ice cream at a birthday party, and each child gets 2 scoops, and no flavor combination is repeated, what is the equation you would use to get the number of children at the party? I think the answer is 44, but I can’t figure out the equation. And yes, all flavor combinations are used.
Favorite Answer
n=9
k=2
C(9,2) = 9! / (2! (9-2)!)
when you cancel the 7! with the top, you get:
(9*8) / (2*1)
72/2 = 36 kids
however- this is double the answer- cause the combinations work both ways (choclate-strawberry/ strawberry-choclate) so the answer would be 72\2+9=45/
72/2=36 ELIMINATES THE DUPLICATES LIKE VANILLA CHOCOLATE IS THE SAME AS CHOCOLATE VANILLA
THIS ASSUMES THAT 2 DIFFERENT FLAVORS ARE ON EVERY CONE….IF YOU ALSO ARE INCLUDING DUPLICATES LIKE CHOCOLATE-CHOCOLATE AND VANILLA-VANILLA ETC….ADD BACK 9 TO THE 36….
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