by tenacious me - Monday, 24 September 2012, 09:54 PM
after getting x+y+z =9 you have to find such three numbers which do not have common factor(all three). ie except 3,3,3 you can take any three values.
If you remember from Permutation we can find the answer as
C(11,2)-cases when any 1 or 2 variables are zero
therefore the final answer is c(11,2)-3*9-1=55-27-1=27
this additional 1 is for the case 3,3,3