HMMT 2003 C6
- Combinatorics
- Answer
In a classroom, 34 students are seated in 5 rows of 7 chairs. The place at the center of the room is unoccupied. A teacher decides to reassign the seats such that each student will occupy a chair adjacent to his/her present one (i.e. move one desk forward, back, left or right). In how many ways can this reassignment be made?
Dataset text NuminaMath olympiads. Quoted with source.
Also HMMT 2003 F9.
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