An algebra class has 9 students and 9 desks. For the sake of variety, students change the seating arrangement each day. How many days must pass before the class must repeat a seating arrangement? Correct days must pass before a seating arrangement is repeated. Suppose the desks are arranged in rows of 3. How many seating arrangements are there that put Larry, Moe, & Curly in the front seats? There are Incorrect seating arrangements that put them in the front seats.

Guest Feb 18, 2017

#6**+6 **

Curly is soitenly my favorite.

Here's a clip of the funniest of all.

https://www.youtube.com/watch?v=XUhTKMBXWNg

(Curly isn't in this one, though.)

GingerAle
Feb 18, 2017

#1**+5 **

nPr = 9 P 9 = 362880 different seating arrangements ( 9! = 362880)

with Larry Moe Curly in fron row..... 9 C 3 =84 ways ( 9! /(6 x 6!) )

(I think !)

ElectricPavlov
Feb 18, 2017

#2**+5 **

I agree with EP's first answer........

I see the second situation a little differently

We can arrange Larry, Curly and Moe in 3! ways in the front row and the other students in 6! ways in the other desks....so

3! * 6! = 4320 arrangements

CPhill
Feb 18, 2017

#4**+5 **

Well, I would like to be sitting right behind them! nyuk nyuk nyuk

I love the three stooges!

GingerAle
Feb 18, 2017

#6**+6 **

Best Answer

Curly is soitenly my favorite.

Here's a clip of the funniest of all.

https://www.youtube.com/watch?v=XUhTKMBXWNg

(Curly isn't in this one, though.)

GingerAle
Feb 18, 2017