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**jacks****Member**- Registered: 2012-11-21
- Posts: 77

6 Dice are thrown simultaneously. Then the probability that exactly 3 of them show the same face and remaining 3 shows different face, is

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 82,990

Different face from the 3 or different from each other too?

Is this okay 4,4,4 and 5,5, 2 or must it be like this 6,6,6, and 1,3, 5?

**In mathematics, you don't understand things. You just get used to them.I have the result, but I do not yet know how to get it.All physicists, and a good many quite respectable mathematicians are contemptuous about proof.**

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**jacks****Member**- Registered: 2012-11-21
- Posts: 77

like this 6,6,6, and 1,3, 5

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 82,990

Hi;

I am getting 25 / 162 as the answer.

**In mathematics, you don't understand things. You just get used to them.I have the result, but I do not yet know how to get it.All physicists, and a good many quite respectable mathematicians are contemptuous about proof.**

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**jacks****Member**- Registered: 2012-11-21
- Posts: 77

Yes bobbym you are Right.

would you like to explain it to me

Thanks

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 82,990

Hi jacks;

Standard yahtzee problem ( modified for 6 die ). That is the method I used.

**In mathematics, you don't understand things. You just get used to them.I have the result, but I do not yet know how to get it.All physicists, and a good many quite respectable mathematicians are contemptuous about proof.**

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What is the theory of gf's?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 82,990

Hi Agnishom;

Generating functions are really a shortcut way to do all types of counting problems. They turn combinatorics and probability problems into computational ones.

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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**jacks****Member**- Registered: 2012-11-21
- Posts: 77

Thanks bobbym.

bobbym would you like to give me an idea about generating function

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 82,990

Hi jacks;

How many ways can you select 3 balls from a pile or 4 red balls, another pile of 3 yellow balls and a pile of 2 blue balls.

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,883

Hi bobbym

You have some unmatched parenthesis in there...

That's LaTeX, not Lisp.

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
- Posts: 82,990

Hi;

Thanks, I have repaired the typo.

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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