New answers tagged

10 votes
Accepted

Find all integers n such that $\sqrt{n-4 \sqrt{n-19}}$ is also an integer

user avatar
  • 741
2 votes
Accepted

Tetromino tilings of a 4x5 rectangle with minimal diversity

I suspect the answer is with a possible tiling of First of all, I found that achieving the score of exactly 2 wasn't very hard with N = 4, so I focused on maximizing the ratio of the 5x I board (...
user avatar
  • 10.8k
14 votes
Accepted

The Lufthansa Lottery

Here's a simple way to guarantee a win with Partition $\{1,\dots,11\}$ into $A=\{1,\dots,6\}$ and $B=\{7,\dots,11\}$. By the pigeonhole principle, every draw of $5$ numbers must contain at least $\...
user avatar
  • 9,083

Top 50 recent answers are included