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

You are not logged in.

#1 2013-08-13 12:12:31

mathstudent2000
Member
Registered: 2013-07-26
Posts: 79

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

Offline

#2 2013-08-13 14:16:09

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,739

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.

Offline

#3 2013-08-13 15:36:28

mathstudent2000
Member
Registered: 2013-07-26
Posts: 79

Re: hockey stick identity problems

what is a diophantine equation?


Genius is one percent inspiration and ninety-nine percent perspiration

Offline

#4 2013-08-13 15:42:06

mathstudent2000
Member
Registered: 2013-07-26
Posts: 79

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

Offline

#5 2013-08-13 20:35:57

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,739

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.

Offline

#6 2013-08-14 04:53:50

mathstudent2000
Member
Registered: 2013-07-26
Posts: 79

Re: hockey stick identity problems

for no.2 i tried it but its wrong


Genius is one percent inspiration and ninety-nine percent perspiration

Offline

#7 2013-08-14 04:54:24

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,739

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.

Offline

#8 2013-08-14 04:56:01

mathstudent2000
Member
Registered: 2013-07-26
Posts: 79

Re: hockey stick identity problems

sorry, i mean no.3


Genius is one percent inspiration and ninety-nine percent perspiration

Offline

#9 2013-08-14 04:57:08

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,739

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.

Offline

#10 2013-08-14 04:58:21

mathstudent2000
Member
Registered: 2013-07-26
Posts: 79

Re: hockey stick identity problems

yes


Genius is one percent inspiration and ninety-nine percent perspiration

Offline

#11 2013-08-14 05:05:50

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,739

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.

Offline

#12 2013-08-14 05:08:36

mathstudent2000
Member
Registered: 2013-07-26
Posts: 79

Re: hockey stick identity problems

thanks


Genius is one percent inspiration and ninety-nine percent perspiration

Offline

#13 2013-08-14 05:09:48

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,739

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.

Offline

#14 2013-08-14 05:12:08

mathstudent2000
Member
Registered: 2013-07-26
Posts: 79

Re: hockey stick identity problems

got it


Genius is one percent inspiration and ninety-nine percent perspiration

Offline

Board footer

Powered by FluxBB