MathDB

Consider

n

students with numbers

1, 2, \ldots, n

standing in the order

1, 2, \ldots, n.

Upon a command, any of the students either remains on his place or switches his place with another student. (Actually, if student

A

switches his place with student

B,

then

B

cannot switch his place with any other student

C

any more until the next command comes.)
Is it possible to arrange the students in the order

n,1, 2, \ldots, n-1

after two commands ?

Problem Statement