Question

How many solutions (using only nonnegative integers) are there to the following equation?
x1+x2+x3+x4+x5=36

Answer 1

it's not a polynomial

Answer 2

we can start with the smallest/largest setup: 1+2+3+4+26

then adjust in some fashionable manner i spose but nothing simple comes to mind

1,3,4,5,23
2,3,4,5,22

etc ...

Answer 3

To clarify the question, we might need to know if order matters, and if each element is distinct i.e., can numbers be repeated.