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