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.
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 !)
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
Well, I would like to be sitting right behind them! nyuk nyuk nyuk
I love the three stooges!
Curly is soitenly my favorite.
Here's a clip of the funniest of all.
(Curly isn't in this one, though.)