Posted by **John** on Monday, March 4, 2013 at 4:22pm.

How many ordered triples (a, b, c) of positive integers are there which satisfy the equation a + b + c = 10 ?

- Geometry -
**Steve**, Monday, March 4, 2013 at 5:29pm
if a=1, b+c=9, so 8 there

if a=2, b+c=8. so 7 there

...

if a=8, b+c=2, so 1 there

Looks like 1+2+...+8 = 36

If no duplicates are allowed, the number goes way down.

## Answer this Question

## Related Questions

- Maths - How many ordered triples of positive integers (a,b,c) with 1<=a,b,c&...
- maths - How many ordered triples of positive integers (a,b,c) with 1¡Üa,b,c¡Ü5 ...
- maths - How many ordered triples of pairwise distinct, positive integers (a,b,c...
- mathURGENT!!!!!!!!!! - find all ordered pairs of positive integers (x,y) that ...
- Maths - a, b, c, A and C are real numbers that satisfy the equation (ax^2+bx+c)^...
- Algebra Please Help - Find the sum of integers c for all triples of integers (a,...
- maths - a, b, c, A and C are real numbers that satisfy the equation (ax2+bx+c)2=...
- geometry!!! please help me!!!! - Determine the least positive integer n for ...
- math - A Pythagorean triple is an ordered triple of positive integers(a,b,c) ...
- math, probability - There are six ways to write 5 as an ordered sum of three ...