Question

How many natural solutions does this equation have?
\[x_1+x_2+\ldots+x_N=n\]

Answer 1

\[N\]

Answer 2

is N<n ??

Answer 3

Very interesting answer, because doesn't depend on \(n\).

Answer 4

is that a linear equation,\[x+y+z=b\] how many solutions

Answer 5

@experimentX actually you can think that N≤n, and there are no solutions if N>n. But the final formula will consider it.