Question 1023309
An algebra class has 8 students and 8 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? 
<pre>
8! = 40320
</pre>
Suppose the desks are arranged in rows of 4. How many seating 
arrangements are there that put Larry, Moe, Curly, and Shemp
in the front seats? 
<pre>
4! ways they can go in the front seats. For each of those 
ways, there are 4 ways that the other 4 can be placed in the 
back row. That's 4!*4! = 24*24 = 576 
</pre>
What is the probability that Larry, Moe, Curly and Shemp are 
sitting in the front seats? 
<pre>
576 ways out of 40320 or {{{576/40320}}}{{{""=""}}}{{{1/70}}}

Edwin</pre>