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2,015 people at one table??????
There are 2015 people sitting at a table, each person belongs to one of the four group: student,professors, presidents and deans. Students hate professors, and will never sit next to them. Likewise for presidents and deans. Explain why, in every possible seating, there must be two people from each group sitting next to each other who are from the same group.
If he asked how many ways you can sit them then I would be able to answer, but to explain why I'm not sure how.
2 answers
Yes that is what he asked.
There are 2015 people from universities across the country, all sitting around a massive table. Each person belongs to one of four groups: students, professors, deans and presidents. Students hate professors, and will never sit next to them. Likewise for presidents and deans. Explain why, in every possible seating, there must be two people from each group sitting next to each other who are from the same group.
There are 2015 people from universities across the country, all sitting around a massive table. Each person belongs to one of four groups: students, professors, deans and presidents. Students hate professors, and will never sit next to them. Likewise for presidents and deans. Explain why, in every possible seating, there must be two people from each group sitting next to each other who are from the same group.