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# How many different double scoop cones can be made with six different flavors?

Updated: 4/28/2022

Wiki User

14y ago

The answer is 21.

(1,1 - 1,2 - 1,3 - 1,4 - 1,5 - 1,6 - 2,2 - 2,3 - 2,4 - 2,5 - 2,6 - 3,3 - 3,4 - 3,5 - 3,6 - 4,4 - 4,5 - 4,6 - 5,5 - 5,6 - 6,6)

Wiki User

14y ago

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Q: How many different double scoop cones can be made with six different flavors?
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### How many different double scoop ice cream cones can you make with two flavours?

If you have n flavors available, you can make n(n-1) different permutations (each flavor can be on bottom or top and its considered different) or n(n-1)/2 different combinations (unique pairs of flavors ignoring order).I think the answer you want is n(n-1)/2.

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### How many different 3 scoop ice cream cones can you make using 4 flavors if the order of the flavors is important and each flavor can be chosen more than once?

Essentially, this is a permutation problem with replacement. The number of permutations can be expressed as n^k, where n is the number of choices and k is the number of spaces. In this case it is 4^3 or 64 permutations.

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There is no way to answer this question. Scoops come in different sizes.

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It depends on whether you count chocolate on top and strawberry on bottom as different than strawberry on top and chocolate on bottom. If you want those to be the same, you use 31 choose 2, which is the number of combinations of two items you can have with 31 available items. To calculate this, you use 31! /2!(31-2)! =31x15 If you want those to be different, you'll use permutations instead. This would be 31!/(31-2)! = 31x30 See this website for more information: mathforum org

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A scoop is used for scooping out foods such as ice cream, melon balls, butter balls, etc. Scoops come in all different sizes and can scoop the food out in a ball shape.

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