# Ordering solutions (permutation 2)

**Discrete Mathematics**Level 4

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

No variable may exceed 10; Zero values excluded.

Zero values are excluded.

Zero values of \(x, y, z, w\) are included

Each variable is an odd number.

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

Post your answer as decreasing order of the answers obtained.