# I am a chilli

You have $$\color{Red}{\textbf{20 distinct red chilies}}$$ and $$\color{Green}{\textbf{10 distinct Green chilies}}$$.

The number of $$\color{Red}{\text{special red chili powders}}$$ you can form is $$\color{Red}{R}$$.

The number of $$\color{Green}{\text{special green chili powders}}$$ you can form is $$\color{Green}{G}$$.

Then the ratio $$\dfrac{\color{Red}{R}}{\color{Green}{G}}$$ is equal to $$\dfrac{a}{b}$$ where $$a$$ and $$b$$ are coprime, positive integers, find $$a+b$$.

Details and assumptions -

For making a special chili powder, you can at once use exactly $$2$$ chilies, and of same color.

$$\color{Red}{\text{Red chili}}+ \color{Green}{\text{Green chili}} \neq$$ any of the asked powders.

$$\bullet$$ This problem is a part of the set Vegetable combinatorics

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