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A puzzle for Mathematica

• To: mathgroup at smc.vnet.net
• Subject: [mg42393] A puzzle for Mathematica
• From: "Souvik Banerjee" <s-banerjee at nwu.edu>
• Date: Fri, 4 Jul 2003 01:33:11 -0400 (EDT)
• Organization: Northwestern University, Evanston, IL, US
• Sender: owner-wri-mathgroup at wolfram.com

Hello,

How many n x n binary matrices (that is, whose elements are either 0 or 1)
are possible such that each row and each column sum exactly to m <= n (both
m and n are positive integers)?

How do you solve this in Mathematica? A method for generating would be good
to although not necessary.

Thanks,

-Souvik

• Follow-Ups:
  • Re: A puzzle for Mathematica
    • From: Dr Bob <majort@cox-internet.com>