Difference between revisions of "Challenge problems"
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(Created page with "Lets have a list of proposals, as well as an archive of challenge problems for us to discuss polish and prepare for the external side") |
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| − | + | =Challenge Problems= | |
| + | ==Problem 1== | ||
| + | One hundred mathematicians are invited to the castle of Dr. Evil. Before entering the ballroom he gives each mathematician a hat with 7 accurate digits of pi on the front. No one sees their own hat but they are all told that at least one person has 7 accurate digits of pi on their hat. Next Dr. Evil tells them to walk into the ballroom and stand in a circle so they can see every other mathematician. He tells them | ||
Revision as of 12:54, 2 April 2015
Challenge Problems
Problem 1
One hundred mathematicians are invited to the castle of Dr. Evil. Before entering the ballroom he gives each mathematician a hat with 7 accurate digits of pi on the front. No one sees their own hat but they are all told that at least one person has 7 accurate digits of pi on their hat. Next Dr. Evil tells them to walk into the ballroom and stand in a circle so they can see every other mathematician. He tells them