SOLUTION: How many different seating arrangements are possible for 6 people in 4 chairs?
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Question 166109: How many different seating arrangements are possible for 6 people in 4 chairs?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since order does not matter (ie the seats have no unique positions), we must use the combination formula:
Start with the combination formula.
Plug in and
Subtract to get 2
Expand 6!
Expand 2!
Cancel
Simplify
Expand 4!
Multiply 6*5*4*3 to get 360
Multiply 4*3*2*1 to get 24
Now divide
So 6 choose 4 (where order doesn't matter) yields 15 unique combinations. So there are 15 possible ways that 6 people can sit in 4 chairs.
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