Find the number of permutations of the letters `x,x,x,y,y,y,z,w` taken 5 at a time.

Find the number of solutions of the equation x+y+z=6 , where x, y, z in W

Find the number of integral solutions of x+y+z+y 2,y>1,z>=2,w>=0

Find the number of solutions of the equation x + y + z = 6, where x, y, z, in W.

Find the number of solutions of x + y + z + w = 20 under the following conditions: 1) x,y,z,w are whole number 2) x,y,z,w are natural number

Find the number of solutions of x + y + z + w = 20 under the following conditions:(i) zero values of x,y,z,w are included.

The number of integers x,y,z, w such that x +y+z+w=20 and x , y, w,z ge -1 is

If x, y, z, t are odd natural numbers such that x + y + z +w=20 then find the number of values of ordered quadruplet (x, y, z, t).

if x , y , z , a n d w be the digits of a number beginning from the left , the number is x y z w (b) w z y x (c) x + 10 y + 100 z + 1000 w (d) 10^3x+10^2y+10 z+w