Can someone explain me something in Permutations??

I'm trying to learn Permutations but something is going wrong because i do not understand something in previous tasks that have been done by professor ,



i'm going to upload a photo that i took with my mobile from a task to see what exactly i'm asking for..

http://speedy.sh/K9tJh/10489126-324965920986474-1240880904-n.jpg


As you can see after the table is done , and after we start working with calculations you can see under 9! permutation are four 2 numbers (2,2,2,2) and after it to 8! under are 2,2,2 at 7! permutation are also 2,2



can someone explain me what they are? what they represent ? how to know where to put four 2s and where three 2's , can someone explain it to me plz plz!


Thanks
Regards

...

The number of permutations on n objects is n!, which I presume what your P(n) is.

If one of those objects is repeated r times say, then you need to divide by r! to get the number of distinct permutations.

E.g. 1,1,1,3,3,4,5,7,8

Here n=9, "1" is repeated 3 times, and "3" is repeated twice.

So, the number of permutations is $\dfrac{9!}{3!2!}$

2! is of course just 2, and that's where your 2's are coming from.

I'm not entire clear on the method you're using, it seems to be some way of ordering the permutations sequentially.