Knights of the Round Table
Around a round table sit 12 knights, each of whom is either an elf or a dwarf. It is known that the number of elves is greater than the number of dwarves. Prove that there are two elves who sit opposite each other.
Will this continue to be true if the total number of knights is 120?
Difficulty level (1 very easy - 10 very hard): 3
Topics:
Combinatorics
->
Pigeonhole Principle
Logic
->
Reasoning / Logic
Proof and Example
->
Proof by Contradiction
There are no comments yet.