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Mar 22, 2013 at 15:06 vote accept Bemao
Mar 21, 2013 at 21:44 answer added Douglas Zare timeline score: 4
Mar 21, 2013 at 20:28 comment added Douglas Zare So, the teams are not distinct? You might as well consider patterns of $0$s and $1$s in a cycle.
Mar 21, 2013 at 17:56 comment added Bemao @Richard Stanley - thanks for the comment! I fixed the question to make it more clear.
Mar 21, 2013 at 17:56 history edited Bemao CC BY-SA 3.0
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Mar 21, 2013 at 17:51 comment added Bemao The members of the each team do sit together, with no spaces in between them. In my example, if we label the chairs around the table as 1, 2, ..., 6 then the for the team of 3 and the team of 1, the 6 seating assignments are given by (123, 5), (234, 6), (345, 1), etc. That is to say, I'm considering the seats to be unique, but not the boys occupying them.
Mar 21, 2013 at 17:33 comment added Richard Stanley Do the members of a team sit together with no spaces between them? In your example, since the boys are identical it seems to me that there is only one way of seating two teams of two and one way of seating a team of three and a team of one, so two ways in all.
Mar 21, 2013 at 15:55 history asked Bemao CC BY-SA 3.0