Search   Memberlist   Usergroups
 Page 1 of 1 [1 Post]
Author Message
alexgalexg@yahoo.com
science forum beginner

Joined: 08 Feb 2006
Posts: 2

Posted: Wed Feb 08, 2006 10:54 pm    Post subject: maximizing product of binomial coefficients

Hi All,

I am looking for a reference to this problem:

Given n > m and k, such that both n and m are divisible by k. Maximize
the product:

\$\binom{n1, m1} * \binom{n2, m2} * ... * \binom{nk, mk}\$

where \$\binom{n, m}\$ denotes binomial coefficient

The answer seems to be \$\binom{n/k, m/k} ^ k\$

I would appreciate any reference to a place (book, paper, etc ) where
this or similar problem is solved/dicussed?

Thanks,
Alex
Google

 Display posts from previous: All Posts1 Day7 Days2 Weeks1 Month3 Months6 Months1 Year Oldest FirstNewest First
 Page 1 of 1 [1 Post]
 The time now is Mon Feb 18, 2019 6:53 pm | All times are GMT
 Jump to: Select a forum-------------------Forum index|___Science and Technology    |___Math    |   |___Research    |   |___num-analysis    |   |___Symbolic    |   |___Combinatorics    |   |___Probability    |   |   |___Prediction    |   |       |   |___Undergraduate    |   |___Recreational    |       |___Physics    |   |___Research    |   |___New Theories    |   |___Acoustics    |   |___Electromagnetics    |   |___Strings    |   |___Particle    |   |___Fusion    |   |___Relativity    |       |___Chem    |   |___Analytical    |   |___Electrochem    |   |   |___Battery    |   |       |   |___Coatings    |       |___Engineering        |___Control        |___Mechanics        |___Chemical

 Topic Author Forum Replies Last Post Similar Topics Tensor product and coproduct in rings cliomseerg@kriocoucke.mai Math 4 Sat Jul 15, 2006 11:33 am Product of matrices of zero trace eugene Math 3 Wed Jul 12, 2006 9:40 pm Bound on nnz for sparse matrix product Scott Kilpatrick num-analysis 3 Wed Jul 12, 2006 4:24 pm RxR lexicographic product lataianu bogdan Math 1 Tue Jul 11, 2006 8:00 pm Free product of Z and Z/2Z James1118 Math 3 Mon Jul 10, 2006 5:50 pm

Copyright © 2004-2005 DeniX Solutions SRL
Other DeniX Solutions sites: Electronics forum |  Medicine forum |  Unix/Linux blog |  Unix/Linux documentation |  Unix/Linux forums  |  send newsletters

Powered by phpBB © 2001, 2005 phpBB Group
 [ Time: 0.0129s ][ Queries: 16 (0.0012s) ][ GZIP on - Debug on ]