Question 95
$n$ students with different names are forming a circle and standing toward the center of the circle. Initially $n$ name tags of the students are distributed to them at random. The students repeat the following process:
[process] Every student having one's own name tag gets out of the circle, and the remaining students pass their name tags to the right.
Find the number of initial distributions of name tags such that some students still remain after 4 processes.
[process] Every student having one's own name tag gets out of the circle, and the remaining students pass their name tags to the right.
Find the number of initial distributions of name tags such that some students still remain after 4 processes.