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Suppose we have 2 teams: A and B. Each team has 4 members. They are seated at a round table,
and arrangements are considered the same when one can be obtained from the other by rotation.
a) How many circular arrangements are possible for 8 people without any restriction? b) We
want to arrange those 8 people around the table so that the teams alternate (means same team
members cannot sit next to each other) How many different circular arrangements are possible
with this restriction? HINT: In Figure below, arrangements (a) and (b) are considered identical,
whereas (a) and (c) are two distinct arrangements.

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  • 1. Suppose we have 2 teams: A and B. Each team has 4 members. They are seated at a round table, and arrangements are considered the same when one can be obtained from the other by rotation. a) How many circular arrangements are possible for 8 people without any restriction? b) We want to arrange those 8 people around the table so that the teams alternate (means same team members cannot sit next to each other) How many different circular arrangements are possible with this restriction? HINT: In Figure below, arrangements (a) and (b) are considered identical, whereas (a) and (c) are two distinct arrangements.