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# Trouble in the whole classroom

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(Sry for bad eng)Our teacher took up a question that she neither anyone else can solve and we are asking for help.

10 tulips

5 of each color

there’s 15 diffrent ways.

How many colors?

We know the answer but not how to solve it. Please, help now!

Guest Sep 7, 2018
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The 10 tulips, 5 of one color and 5 of another is a bit of a red herring.

You are basically choosing 2 colors out of n.

$$\text{so you need to find }n \ni \dbinom{n}{2}=15 \\ \\ \text{a bit of testing quickly reveals that }n=6$$

Rom  Sep 7, 2018