# seating problem

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• Nov 20th 2007, 05:47 PM
nickelsay
seating problem
a group of 5 people are seated in a circle with 6 available chairs, how many seating comvbinations are there and how is this number calculated?
• Nov 20th 2007, 05:56 PM
ThePerfectHacker
Quote:

Originally Posted by nickelsay
a group of 5 people are seated in a circle with 6 available chairs, how many seating comvbinations are there and how is this number calculated?

You do the problem with them seating in a line (row) first. There are $6!$ such ways. But now you divide by $6$ because when they sit in a circle there are six ways round the circle to get the same seating.
• Nov 20th 2007, 06:17 PM
nickelsay
seating again
sorry, still a bit puzzled, your answer....6 combinations if in a row and if in a circle to divide by 6 brings me back to one?