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#1 2013-01-07 12:21:18

cooljackiec
Member
Registered: 2012-12-13
Posts: 160

probability

In how many ways can we distribute 13 pieces of identical candy to 5 kids, if the two youngest kids are twins and insist on receiving an equal number of pieces?


I see you have graph paper.
You must be plotting something
lol

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#2 2013-01-07 12:39:37

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: probability

I would say 308.


“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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#3 2013-01-07 12:48:58

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: probability

Hi;


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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#4 2013-01-07 12:55:28

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: probability

From bobbym's Diophantine equation in the post above we can form the GF:

Last edited by anonimnystefy (2013-01-08 05:08:17)


“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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#5 2013-01-07 12:56:48

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: probability

Hmmm, but do ye have the diophantine equation?


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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#6 2013-01-07 12:58:32

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: probability

Hi bobbym

I was still editing when you posted. See the post again.

Last edited by anonimnystefy (2013-01-07 12:59:49)


“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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#7 2013-01-07 13:00:48

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: probability

Hi;

So where is the diophantine equation?

Oh sorry, you peeked and I did not see.


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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#8 2013-01-07 13:04:20

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: probability

I am refering to your diophantine in the post just above.


“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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#9 2013-01-07 13:10:48

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: probability

Yes, I see that.

How about the recurrence:

with a(0)=1,a(1)=3


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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#10 2013-01-08 00:49:42

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: probability

I think that I can even get a closed form for the terms...


“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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#11 2013-01-08 04:18:43

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: probability

Hi;

That may be a little bit more difficult than it appears for the same reason why that recurrence is false!


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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#12 2013-01-08 04:51:22

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: probability

Got it!


“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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#13 2013-01-08 04:56:23

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: probability

Hi;

You did not read post #11, that is not quite correct.


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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#14 2013-01-08 04:59:44

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: probability

I did read it, but I do not see what is wrong...


“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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#15 2013-01-08 05:03:40

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: probability

Supposing I asked you to use that formula for 50 pieces of candy would you get the right 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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#16 2013-01-08 05:07:18

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: probability

I am getting 12051.


“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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#17 2013-01-08 05:11:56

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: probability

Yes, that is correct.

I meant coming up with an analytical form for the coeffs of the expansion of the polynomial in post #3. But I guess that is not really that important.


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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#18 2013-01-08 05:14:29

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: probability

So my formula in post #9 is correct?


“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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#19 2013-01-08 05:21:51

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: probability

Hi;

Yes, I believe it is. I got,


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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#20 2013-01-08 05:42:17

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: probability

I think the two are same... I just put mine in the form above because of the common expression 1+(-1)^n. It is noce to know that that part is 0 when n is odd.


“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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#21 2013-01-08 05:43:48

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: probability

Hi;

I know how I got mine, may I ask how you got yours?


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.

Offline

#22 2013-01-08 05:45:54

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: probability

Partial fractions, then expanding.


“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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#23 2013-01-08 05:55:59

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: probability

Hi;

Did them by maxima?


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.

Offline

#24 2013-01-08 06:42:42

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: probability

Partial fractions in Maxima and expanding by hand.


“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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#25 2013-01-08 06:53:39

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: probability

Hi;

Okay, somehow though I do not think these answers are what the OP will require.


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.

Offline

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