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## #1 2013-08-14 10:12:31

mathstudent2000
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### hockey stick identity problems

1.We have 8 pieces of strawberry candy and 7 pieces of pineapple candy. In how many ways can we distribute this candy to 4 kids?

2. 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?

3. 4 students are running for club president in a club with 50 members. How many different vote counts are possible, if everyone is required to vote?

Genius is one percent inspiration and ninety-nine percent perspiration

## #2 2013-08-14 12:16:09

bobbym

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### Re: hockey stick identity problems

Hi;

Those can be handled with generating functions or solutions to a diophantine equation using x's and dashes.

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.

## #3 2013-08-14 13:36:28

mathstudent2000
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### Re: hockey stick identity problems

what is a diophantine equation?

Genius is one percent inspiration and ninety-nine percent perspiration

## #4 2013-08-14 13:42:06

mathstudent2000
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### Re: hockey stick identity problems

i solved no.2 but i need some hints on 1 and 3

Genius is one percent inspiration and ninety-nine percent perspiration

## #5 2013-08-14 18:35:57

bobbym

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### Re: hockey stick identity problems

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.

## #6 2013-08-15 02:53:50

mathstudent2000
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### Re: hockey stick identity problems

for no.2 i tried it but its wrong

Genius is one percent inspiration and ninety-nine percent perspiration

## #7 2013-08-15 02:54:24

bobbym

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### Re: hockey stick identity problems

Please verify 1 and 3 before we go any further.

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 2013-08-15 02:56:01

mathstudent2000
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### Re: hockey stick identity problems

sorry, i mean no.3

Genius is one percent inspiration and ninety-nine percent perspiration

## #9 2013-08-15 02:57:08

bobbym

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### Re: hockey stick identity problems

They said number 3 is wrong?

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 2013-08-15 02:58:21

mathstudent2000
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### Re: hockey stick identity problems

yes

Genius is one percent inspiration and ninety-nine percent perspiration

## #11 2013-08-15 03:05:50

bobbym

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### Re: hockey stick identity problems

Hi;
I see the problem, try this

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 2013-08-15 03:08:36

mathstudent2000
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### Re: hockey stick identity problems

thanks

Genius is one percent inspiration and ninety-nine percent perspiration

## #13 2013-08-15 03:09:48

bobbym

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### Re: hockey stick identity problems

The problem was that I thought that each of the 4 students needed at least one vote. This is untrue, some could get 0 votes.

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 2013-08-15 03:12:08

mathstudent2000
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### Re: hockey stick identity problems

got it

Genius is one percent inspiration and ninety-nine percent perspiration