How Many Integer Solutions Exist for a Sum Equation?

[chaoseverlasting]

It's been a while since I've done equation based math (I'm doing an MBA now) and there's a formula that I can't for the life of me remember.


If you have a set of number such as

n1 + n2+ n3+ n4... +nk =p,

How many integer solutions does this equation have?

TIA,

Chaos

 

[mathman]

It's been a while since I've done equation based math (I'm doing an MBA now) and there's a formula that I can't for the life of me remember.


If you have a set of number such as

n1 + n2+ n3+ n4... +nk =p,

How many integer solutions does this equation have?

TIA,

Chaos

Could you clarify - which of the items are to be solved for and which are given?

 

[awkward]

See this page:

http://en.wikipedia.org/wiki/Stars_and_bars_(combinatorics)

 

[chaoseverlasting]

Thank you awkward, that's exactly what I was looking for! Mathman, its the integer solution for non negative integer values of n1, n2, n3, n4 and where p is constant integer.