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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