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Thoughts... | Reply
First off, I enjoyed this article and it has given me a few ideas to think about.

I think, though, that it may have tried to get through a bit too much information for its size.

It could very well be that I'm just not that bright - but I found a number of points in the article where, despite being familiar with the concept being discussed, I had to stop and puzzle a while before I could follow the discussion in a meaningful way. I understand that thinking is good, but I wonder if somebody new to the subject would be able to piece things together (especially if they're unfamiliar with the notation).

I understand we don't want every article to start off with a definition of the factorial operator, but I think there needs to be a balance somewhere in terms of the level of the subject being covered and the pacing if the article. I think the article could have benefited from a quick legend for the notation, and more discussion of fewer items.

Oh, also one little bug (Edit: I was confused):
For example, if we have 10 different prizes that need to be divided among 5 people, we can do so in 5^10 ways.
I believe that should be 10^5 ways.

Anywho - interesting article. Thanks.
Re: Thoughts... (response to post by jmzero) | Reply
No, the first prize can go to 5 different people, and the second, and the third, etc. That makes 5^10.
Re: Thoughts... (response to post by | Reply
Whoops, you're right. I swear I confirmed my reading of this like 15 times - and now it doesn't seem confusing at all.
Re: Thoughts... (response to post by jmzero) | Reply
"I think, though, that it may have tried to get through a bit too much information for its size."

Yeah it's true, but the main idea was to make some small previews of different themes to make people interested in them, and then if you wanna get closer with some topics you can find them described deeper in more specific books.
Re: Thoughts... (response to post by | Reply
For example, 3 prizes to be distributed among 2 people
order is important and more than object of type holds

x,y,z are the prizes and a,b are people

so you have

this is 3^2 and not 2^3

I still doubt the 5^10 and I think it is 10^5

It could have been of great help if the question
( 10 prizes distributed among five people) listed any other assumptions or is the example related to another explanation?
Re: Thoughts... (response to post by thespecialist91) | Reply
Well, it depends on how you word it.

You can think of 3 prizes to 2 people this way:

1: abc

1: ab
2: c

1: ac
2: b

1: a
2: bc

and you get 4 more flipping person 1 and person 2.
Re: Thoughts... (response to post by Larry) | Reply
"more than one object" is the key