Question
How many different seating arrangements are possible for 6 people in 4 chairs? Show all your work to solve.(3 points)
Answers
GPT 3.5
To find the number of different seating arrangements for 6 people in 4 chairs, we can use the permutation formula:
P(n,r) = n! / (n-r)!
Where n is the total number of people (6) and r is the number of chairs (4).
P(6,4) = 6! / (6-4)!
P(6,4) = 6! / 2!
P(6,4) = 720 / 2
P(6,4) = 360
Therefore, there are 360 different seating arrangements possible for 6 people in 4 chairs.
P(n,r) = n! / (n-r)!
Where n is the total number of people (6) and r is the number of chairs (4).
P(6,4) = 6! / (6-4)!
P(6,4) = 6! / 2!
P(6,4) = 720 / 2
P(6,4) = 360
Therefore, there are 360 different seating arrangements possible for 6 people in 4 chairs.