# Find number of negative integral solution of equation x + y + z = - 12

23 views

closed
Find number of negative integral solution of equation x + y + z = - 12
A. 44
B. 55
C. 66
D. none of these

by (90.7k points)
selected

(b) x+y+z=-12
Here -10 le x, y, z le -1
Let x_(1)=-x, y_(1)=-y, z_(1)=-z
:. we have x_(1)+y_(1)+z_(1)=12 , where 1 le x_(1), y_(1), z_(1) le 12
:. Number of solutions of the equation
=^(12-1)/(C_(3-1)=^(11)C_(2)=55