Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

Login

Username

Password

Not registered yet?

#1 2013-01-08 11:21:18

cooljackiec
Full Member

Offline

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

#2 2013-01-08 11:39:37

anonimnystefy
Real Member

Offline

Re: probability

I would say 308.


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#3 2013-01-08 11:48:58

bobbym
Administrator

Offline

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.

#4 2013-01-08 11:55:28

anonimnystefy
Real Member

Offline

Re: probability

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

Last edited by anonimnystefy (2013-01-09 04:08:17)


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#5 2013-01-08 11:56:48

bobbym
Administrator

Offline

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.

#6 2013-01-08 11:58:32

anonimnystefy
Real Member

Offline

Re: probability

Hi bobbym

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

Last edited by anonimnystefy (2013-01-08 11:59:49)


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#7 2013-01-08 12:00:48

bobbym
Administrator

Offline

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.

#8 2013-01-08 12:04:20

anonimnystefy
Real Member

Offline

Re: probability

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


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#9 2013-01-08 12:10:48

bobbym
Administrator

Offline

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.

#10 2013-01-08 23:49:42

anonimnystefy
Real Member

Offline

Re: probability

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


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#11 2013-01-09 03:18:43

bobbym
Administrator

Offline

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.

#12 2013-01-09 03:51:22

anonimnystefy
Real Member

Offline

Re: probability

Got it!


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#13 2013-01-09 03:56:23

bobbym
Administrator

Offline

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.

#14 2013-01-09 03:59:44

anonimnystefy
Real Member

Offline

Re: probability

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


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#15 2013-01-09 04:03:40

bobbym
Administrator

Offline

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.

#16 2013-01-09 04:07:18

anonimnystefy
Real Member

Offline

Re: probability

I am getting 12051.


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#17 2013-01-09 04:11:56

bobbym
Administrator

Offline

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.

#18 2013-01-09 04:14:29

anonimnystefy
Real Member

Offline

Re: probability

So my formula in post #9 is correct?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#19 2013-01-09 04:21:51

bobbym
Administrator

Offline

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.

#20 2013-01-09 04:42:17

anonimnystefy
Real Member

Offline

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.


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#21 2013-01-09 04:43:48

bobbym
Administrator

Offline

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.

#22 2013-01-09 04:45:54

anonimnystefy
Real Member

Offline

Re: probability

Partial fractions, then expanding.


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#23 2013-01-09 04:55:59

bobbym
Administrator

Offline

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.

#24 2013-01-09 05:42:42

anonimnystefy
Real Member

Offline

Re: probability

Partial fractions in Maxima and expanding by hand.


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#25 2013-01-09 05:53:39

bobbym
Administrator

Offline

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.

Board footer

Powered by FluxBB