Draft:Bpow34

From Math Puzzle Wiki
Revision as of 08:11, 2 September 2013 by Oscarlevin (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

A mutiny takes place on the pirate ship "The Teutonic". Wanting to punish the mutineers and regain control of the ship, the captain puts the disloyal crew members off on different small islands. The mutineers soon discover that communication between themselves is possible by sending messages attached to carrier pigeons. However, each mutineer can only communicate with one other plotter on any given day. Suppose each of them has some unique piece of information he would like all the others to know and that on any given day he can pass along all the information he has to his chosen recipient.

There are eleven mutineers. How many days will it take before each of them has gathered all the information?

One of the faithful crew member is found to be an accomplice and marooned like the others, making twelve mutineers in all. Now how many days will the communication take?


Problem by Alberto L Delgado, from the now extinct Bradley Problem of the Week.