Because the places are in no particular order, six of them are assigned to six classes respectively, and the remaining four places can be discussed in categories:

4 when assigned to a class, there are 6 kinds;

Three points are classified into one category, and the rest 1 are classified into another category, with 30 species;

Two of them belong to one category, and the other two belong to another category, with 15 species;

Two belong to one category, and the other two belong to two categories, with 60 species;

Each class 15 species.

So there are 126 distribution schemes!

Method 2:

Divide 10 into 6 parts by dividing method, that is, choose 5 sections from 9 sections, which are not separated in order, so there are 126 schemes!