The number of integral solutions of x + y + z = 0 with x≥−5,y≥−5,z≥−5 is

Let x=p−5,y=q−5 and z=r−5, where p,q,r≥0.Then the given equation reduces to p+q+r=15 ………(1)Now, we have to find non-negative integral solution of Eq. (1). The total number of such solutions is  15+3−1C3−1=17C2=136.