[algogeeks] Re: n balls and k different colors 1=k=n

2009-10-10 Thread vicky

i didn't get anything plz elaborate

On Oct 10, 10:44 am, Prunthaban Kanthakumar pruntha...@gmail.com
wrote:
 Sterling numbers of second kind.



 On Sat, Oct 10, 2009 at 10:41 AM, vicky mehta...@gmail.com wrote:

  example:
  n=10,k=10
  ans:1
  n=30,k=7
  ans:
  475020
  On Oct 10, 9:51 am, vicky mehta...@gmail.com wrote:
   u have to color n similar balls with k diff. colors , such that every
   color must be used atleast once find the no. of ways

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[algogeeks] Re: n balls and k different colors 1=k=n

2009-10-10 Thread Prunthaban Kanthakumar
I just noticed that in your problem the balls are 'similar'.
Then the solution is a simple composition and the answer is {n-1, k-1} where
{n,k} stands for binomial coefficient.
I will give a proof sometime later if needed.

On Sat, Oct 10, 2009 at 11:22 AM, vicky mehta...@gmail.com wrote:


 i didn't get anything plz elaborate

 On Oct 10, 10:44 am, Prunthaban Kanthakumar pruntha...@gmail.com
 wrote:
  Sterling numbers of second kind.
 
 
 
  On Sat, Oct 10, 2009 at 10:41 AM, vicky mehta...@gmail.com wrote:
 
   example:
   n=10,k=10
   ans:1
   n=30,k=7
   ans:
   475020
   On Oct 10, 9:51 am, vicky mehta...@gmail.com wrote:
u have to color n similar balls with k diff. colors , such that every
color must be used atleast once find the no. of ways

 


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[algogeeks] Re: n balls and k different colors 1=k=n

2009-10-10 Thread nikhil garg
a very simple proof of the formula is using generating function for counting

On Sat, Oct 10, 2009 at 3:08 PM, Prunthaban Kanthakumar 
pruntha...@gmail.com wrote:

 I just noticed that in your problem the balls are 'similar'.
 Then the solution is a simple composition and the answer is {n-1, k-1}
 where {n,k} stands for binomial coefficient.
 I will give a proof sometime later if needed.

 On Sat, Oct 10, 2009 at 11:22 AM, vicky mehta...@gmail.com wrote:


 i didn't get anything plz elaborate

 On Oct 10, 10:44 am, Prunthaban Kanthakumar pruntha...@gmail.com
 wrote:
  Sterling numbers of second kind.
 
 
 
  On Sat, Oct 10, 2009 at 10:41 AM, vicky mehta...@gmail.com wrote:
 
   example:
   n=10,k=10
   ans:1
   n=30,k=7
   ans:
   475020
   On Oct 10, 9:51 am, vicky mehta...@gmail.com wrote:
u have to color n similar balls with k diff. colors , such that
 every
color must be used atleast once find the no. of ways




 



-- 
nikhil-

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[algogeeks] Re: n balls and k different colors 1=k=n

2009-10-09 Thread vicky

example:
n=10,k=10
ans:1
n=30,k=7
ans:
475020
On Oct 10, 9:51 am, vicky mehta...@gmail.com wrote:
 u have to color n similar balls with k diff. colors , such that every
 color must be used atleast once find the no. of ways

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[algogeeks] Re: n balls and k different colors 1=k=n

2009-10-09 Thread Prunthaban Kanthakumar
Sterling numbers of second kind.

On Sat, Oct 10, 2009 at 10:41 AM, vicky mehta...@gmail.com wrote:


 example:
 n=10,k=10
 ans:1
 n=30,k=7
 ans:
 475020
 On Oct 10, 9:51 am, vicky mehta...@gmail.com wrote:
  u have to color n similar balls with k diff. colors , such that every
  color must be used atleast once find the no. of ways

 


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