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Posted 08 January 2013 - 10:45 PM
Do the girls know the number written on their card? Do they know the number written on any other card (like those standing beside them)?
Posted 08 January 2013 - 10:50 PM
Okay, second time is the charm,
Spoiler for equations
That is a neat solution! Mine is a lot messier than that. The formulas could use some explaining... On the other hand, there is still a little bit of puzzle left for those who can’t invest a lot of time into solving this problem from scratch. Check out the two equations by Bushindo and figure out the precise reasoning for their construction. (Note: some people are more used to the nCk notation for combination.)
There is also a general solution already mentioned by Vistaptb, which may be guessed at by the actual answers found by Bushindo. People who like calculus may want to tackle that aspect of the problem.
Honorable mention to Rainman for also finding the right idea.
As for the problem of finding the largest number where the distribution is known suggested here by Caliban27 and Bonanova -- that's a different one. I never got around to working on it, so I will not start a new topic, though deserving it may be. I agree with Bonanova about the social implications of such problem. The problem presented here has a great value for young people in making their real life choices, as well.
Past prime, actually.
Posted 08 January 2013 - 11:10 PM
Posted 08 January 2013 - 11:21 PM
Spoiler for 100%
Good tangential thinking. But it does not work per OP. You can't claim the prize, lest you pass the test. Sure, given 100 dowries, you may not need the job. However, the participating women would not be interested.
Past prime, actually.
Posted 09 January 2013 - 06:05 AM
Vidi vici veni.
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