Posted by Monique on Thursday, September 29, 2011 at 3:42pm.
Four couples have purchased ticket to the school play. Their sear are next to one another in a single row. If each couple sits side by side, how many seating arrangements are possible?
(I came up with 24. correct??)

Math  Trisha, Thursday, September 29, 2011 at 3:53pm
I count 64 posibilitys: p=person s=seat
p ssssssss
p ssssssss
p ssssssss
p ssssssss
p ssssssss
p ssssssss
p ssssssss
p ssssssss

Math  Monique, Thursday, September 29, 2011 at 3:59pm
is that with the requirement that each couple sit side by side?

Math  Trisha, Thursday, September 29, 2011 at 4:19pm
no

Math  Trisha, Thursday, September 29, 2011 at 4:25pm
if the couples have to sit side by side then i count 32

Math  Sarah, Thursday, September 29, 2011 at 4:28pm
In the first seat: There are 8 possibilites for who sits there.
In the second seat: There is only 1 possibility (the other member of the couple).
In the third seat: There are 6 possibilites for who sits there.
In the fourth seat: There is only 1 possibility (the other member of the couple).
In the fifth seat: There are 4 possibilities for who sits there.
In the sixth seat: There is only 1 possibility (the other member of the couple).
In the seventh seat: There are 2 possibilities for who sits there.
In the eighth seat: There is only 1 possibility (the last member of the last couple).
Answer: 8*1*6*1*4*1*2*1 = 384 different possibilities!

Math  Sarah, Thursday, September 29, 2011 at 4:30pm
There are 384 possibilities.

Math  Trisha, Thursday, September 29, 2011 at 4:50pm
uhhhhhhhh are you sure cause that doesn't sound posible. especialy if the couples have to sit side by side

Math  Trisha, Thursday, September 29, 2011 at 5:09pm
i know u included the couples sitting side by side but still

Math  Sarah, Thursday, September 29, 2011 at 10:11pm
Yes, if the couples were not required to sit next to each other then the number of possibilities would be (8*7*6*5*4*3*2*1) = 40,320. I've taken Statistics at Georgia Tech and this was the fun part!!

Math  Monique, Thursday, September 29, 2011 at 11:32pm
got it. Thanks so much.

Math  Shey, Wednesday, November 16, 2011 at 6:50pm
there are six ways each of them can sit next to each of them sit. five to sit next to them. six times six = thirtysix
five times five = 30 add them together you get 66
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