The expression max(a,b) means the larger of a and b. If x > y > z, then x + y + z - max(x,y) - max(x,z) - max(y,z) + max(x,y,z) always equals one of x, y, or z. Determine which one.
+121 Since x > y > z (meaningx is the largest , y is the second largest, and z is the smallest of the three quantities), then
max(x, y) = x (since x is the largest),
max(x, z) = x (since x is the largest),
max(y, z) = y (since y is the second largest) , and
max(x, y, z) = x (since x is the largest).
so x + y +z - max(x.y) - max(x, z) - max(y, z) +max(x, y, z) = x + y + z - x - x - y + x = 2x - 2x +y - y +z = z . So z remains because he is the smallest.
