The no. of integral solutions of `x_1+x_2+x_3=0` with `x_k, >=-5` is

The number of integral solutions of, x^(2)-5 x+4 lt 0 is

The number of integral solutions of x^(2)-3x-4 lt 0 , is

The number of integral solutions of x^(2)-3x-4 lt 0 , is

Assertion (A) : The number of positive integral solutions of x_(1)+x_(2)+x_(3)=10 is 36. Reason (R) : The number positive integral solutions of the equation x_(1)+x_(2)+x_(3)+.......+x_(k)=n is ""^(n-1)C_(k-1) , The correct answer is

The number of integral solutions of x_(1)+x_(2)+x_(3)+x_(4)=30 such that 0<=x_(i)<10, is

The number of integral solutions of x_(1)+x_(2)+x_(3)+x_(4)=30 such that 0<=x_(i)<=10 is:

The number of integral solution of x1+x2+x3+x4=25, such that x1>=1,x2>=2,x3>=3,x4>=4