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1 answers
3 votes
How many unique "miracle sudokus" are there?
4 votes

An un-enlightening brute force computer search yielded the following 5 solutions, excluding rotation, reflection, and inversion. Inspecting these solutions, it turns out that 1 and 9 are never ...

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5 answers
12 votes
99 Bags of Apples and Oranges
1 votes

I will provide a probabilistic proof. By demonstrating that picking randomly has a nonzero chance of success, we can show that a solution exists. ( ...

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4 answers
4 votes
Queue in the bank
1 votes

Lets think of the problem in terms of permutations. The initial positions of the 6 men form one of 6! permutations. The clerk's action is to apply the cycle of the permutation containing 6 (see "Cycle ...

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