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In a certain classroom, the 25 seats are arranged in a square of 5 rows, with 5 seats in each row. The teacher announces that each student is to change seats by going either to the seat in front of her, in back of her, or to the right or left of her (so if people are on the end of a row, they have fewer options -- they can't "go around to the other side of the row"). Can this order be carried out? If so, show one way. If not, explain why not.
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Drawing a diagram really helps with this one. Maybe colouring it in as well :)
I really advise drawing and colouring this. You've no idea how helpful this is.
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