Assigning exercises (piling in bins 2/4)

A teacher wants to give all of his 10 different combinatoric exercises to his 6 students, so that all students have at least one exercise to do, and no student share any exercise with another.

For pedagogical reasons, when he gives several exercises to one student, he wants to list them to him so that they are done in a specific sequence.

In how many ways can the teacher assign the exercises to his students?

Details and assumption:

Ordering exercises in the best pedagogic way is quite subjective for this topic. Therefore, we count every possibility for the teacher to sort them for one student: giving Lisa ex. 3.10 then ex. 3.3, or 3.3 then 3.10, that counts as 2 possibilities.

Part of the Piling distinct objects in bins set.

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