Drexel dragonThe Math ForumDonate to the Math Forum


Math Forum
 Ask Dr. Math
 Discussions
 Internet Newsletter
 MathTools
 Problems of the Week
 Teacher2Teacher
 Teacher Exchange
 Workshops

Search All of the Math Forum:
Browse our Internet Mathematics Library

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: MasterMind Scenario
Replies: 16   Last Post: Dec 17, 1997 4:09 PM

Advanced Search
Reply to this Topic Reply to this Topic

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Jim Balter

Posts: 181
Registered: 12/7/04
Re: MasterMind Scenario
Posted: Dec 17, 1997 3:36 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply



Jim Balter wrote:
>
> Daniel Isaacs wrote:
> >
> > Suppose in a game of Master Mind with 6 colors and 4 locations, the guess
> >
> > RBBG
> >
> > yields a response of two white pegs. That is, two colors are right, but
> > are in the wrong position. Find the number of codes which are still
> > possible based on this information.
> >
> > Good Luck.
>
> Wherever you put the two correct colors, the colors in the other
> positions can't be the color that was there and can't be one of the
> wrong colors. There are 8 cases of 4*3, 4 cases of 4*4 and 5*4,
> and 1 case of 3*3 and 5*5, yielding 274 possibilities.

Oops. I failed to account for the fact that some of these duplicate
each other. I imagine that Dave Dodson's enumeration is correct.

--
<J Q B>

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2013. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.