In how many ways can 7 persons be seated round a table?
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This may not be possible.
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In a circular arrangement we first have to fix the position for the first person, which can be performed in only one way (since every position is considered same if no one is already sitting on any of the seats), also, because there are no mark on positions.
Now, we can also assume that remaining persons are to be seated in a line, because there is a fixed starting and ending point i.e. to the left or right of the first person.
Once we have fixed the position for the first person we can now arrange the remaining (7−1)(7−1) persons in (7−1)!=6!(7−1)!=6! ways.
Now, we can also assume that remaining persons are to be seated in a line, because there is a fixed starting and ending point i.e. to the left or right of the first person.
Once we have fixed the position for the first person we can now arrange the remaining (7−1)(7−1) persons in (7−1)!=6!(7−1)!=6! ways.
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