Question

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.

Answer 1

What book are you getting these questions out of? Seriously.........

Answer 2

This is another one given to me by a lecturer.

Answer 3

dont understand d ques
were r the students orignally??

Answer 4

The students initially are sitting in these 25 seats. They are told that all of them have to move to another seat, but they can only move to adjacent seats.

Answer 5

ok

Answer 6

no it cant be

Answer 7

http://math.hope.edu/pow.html

Answer 8

Why can't it be?

Answer 9

dont know just tried 1 scenario

Answer 10

Hehe. Try other ones. I recommend drawing out the scenario, and colouring it in.

Answer 11

dont hav tat much time :(

Answer 12

ps try this
http://openstudy.com/groups/mathematics/updates/4e3cf2d30b8bfc76a3f6a020#/groups/mathematics/updates/4e3d00fd0b8bfc76a3f6a42e

Answer 13

Imagine the seats are colored as if they were on a checkerboard. Clearly, anyone in a "black" seat has to, by the given Rules, move to a "white" seat, and anyone in a "white" seat has to move to a "balck" seat. Sadly, the number of black seats and white seats is NOT EQUAL (25 % 2 = 1) - so there will always be at least one student with nowhere to sit.

Answer 14

Bingo.