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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
Full Member

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Re: hockey stick identity problems

got it


Genius is one percent inspiration and ninety-nine percent perspiration

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