# I am spinach $__$

There are $$\color{LimeGreen}{\textbf{17 raw spinach leaves}}$$ in a $$\color{Blue}{\text{Blue bag}}$$ and $$\color{Green}{\textbf{19 ripe spinach leaves}}$$ in a $$\color{Red}{\text{Red bag}}$$.

I want to put the $$\color{Blue}{\text{Blue bag}}$$ and the $$\color{Red}{\text{Red bag}}$$ in a $$\color{Purple}{\text{Purple bag}}$$ after removing at least one (and maximum all) leaves from each of the 2 bags.

Then how many different possibilities are there for the contents of the $$\color{Purple}{\text{Purple bag}}$$ ?

Details and assumptions:-

$$\bullet$$ The contents of the $$\color{Purple}{\text{Purple bag}}$$ are counted in terms of $$\color{Red}{(Red,}\color{Blue}{Blue)}$$.

$$\bullet$$ If i remove 3 leaves from $$\color{Blue}{\text{Blue bag}}$$ and 4 leaves from the $$\color{Red}{\text{Red bag}}$$, then the $$\color{Purple}{\text{Purple bag}}$$ will have the contents $$\color{Red}{(Red,}\color{Blue}{Blue)} = (15,14)$$.

($$\color{LimeGreen}{3}$$ out of $$\color{LimeGreen}{\text{17 raw leaves}}$$ and $$\color{Green}{4}$$ out of $$\color{Green}{\text{19 ripe leaves}}$$ were removed)

This problem is part of the set Vegetable Combinatorics

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