SOLUTION: How many different seating arrangements are possible for 6 people in 4 chairs?
-> SOLUTION: How many different seating arrangements are possible for 6 people in 4 chairs?
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How many different seating arrangements are possible for 6 people in 4 chairs?
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Since order does not matter (ie the seats have no unique positions), we must use the
Start with the combination formula.
to get 2
Multiply 6*5*4*3 to get 360
Multiply 4*3*2*1 to get 24
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.