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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Better but not right.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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Oh,I think I get it. We divide by the factorial of the exponent because that is a case when we take "the exponent" number of that letter so we need to divide by "the exponent" factorial.

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Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Try this one then:

"Murmur", 5 letters.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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Hi bobbym

The number of letters really doesn't matter when we are looking for a GF.

*Last edited by anonimnystefy (2012-04-29 09:09:14)*

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Are you sure?

"MURMURING", create a generating function that counts all possible arrangements of n letters.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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Hi bobbym

*Last edited by anonimnystefy (2012-04-29 09:16:41)*

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**bobbym****Administrator**- From: Bumpkinland
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That is very good!

Now how do we get the number of ways for 8 letters out of that?

Taking a break.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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We take the coefficient with x^8.

Ok,see you later!

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**bobbym****Administrator**- From: Bumpkinland
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Which is what?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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Me getz 9/8. I actually think that it maybe has to be multiplied by 8!

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**bobbym****Administrator**- From: Bumpkinland
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So what is your answer?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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I am not sure if it is 9 or 9!/8 or neither.

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**bobbym****Administrator**- From: Bumpkinland
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The coefficient of x^8 is then multiplied by 8!.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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So 9!/8.

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**bobbym****Administrator**- From: Bumpkinland
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Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,507

Well that is what I said,isn't it?

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**bobbym****Administrator**- From: Bumpkinland
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Hi;

You gave a couple of answers. The closest had a maybe in it. You have to post your answer and stand by it.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,507

anonimnystefy wrote:

So 9!/8.

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**bobbym****Administrator**- From: Bumpkinland
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Check that again.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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Why?

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**bobbym****Administrator**- From: Bumpkinland
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Hmmmm? Because it is incorrect.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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It is absolutely the same as your answer in #66.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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anonimnystefy wrote:

So 9!/8.

I thought you were saying that was the coefficient of x^8. Please be a bit more explanatory in your answers. That will prevent misunderstandings. Had you labelled that the final answer or the no of ways then it would have been clear to me.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,507

Ok sorry. So it is correct.

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