# Ordering solutions (permutation 2)

Find the number of positive integral solutions of $$x + y + z + w = 20$$ under the following conditions:

1. No variable may exceed 10; Zero values excluded.

2. Zero values are excluded.

3. Zero values of $$x, y, z, w$$ are included

4. Each variable is an odd number.

5. $$x, y, z, w$$ have different values (zero excluded).