Find the number of non negative integral solutions of equation a+b+c+d=20.

Find the number of non negative integral solutons of equation x+y+z+4t=20.

Find the number of non-negative integral solutions of equation x+y+z+2w=20.

Find the number of non -negative integrral solutions of equation 2x+2y+z=20

Find the number of non-negative integral solutions of the equation x+y+z=10.

Find the number of non-negative integral solutions of the equation x+y+z=10.

Find the number of non-negative integral solutions of the equation x+y+z=7

Find the number of non-negative integral solutions of inequation x_1+x_2+………….+x_klen

The number of non- negative integral solutions of the equation x + y + z = 5 is :

Assertion: The number of non -negative integral solutions of equation x_1+x_2+x_3+………+x_n=r is "^(r+n-1)C_r , Reason: The number of ways in which r identical things can be distributed among n persons is "^(r+n-1)C_r (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not the correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Find the number of non-negative integral solutions of x+y+z+wlt=20.