For a given array count combination of pairs of (x,y) whose sum is N.
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Not really difficult but at the time I was asked I looked like the biggest idiot: There are N boxes and N keys. Each key opens exactly one box. Suppose we lock each key inside a random box. We pick a box at random and break it in order to get the key. What is the probability that with that key we will be able to open the rest of the boxes without having to break any of the remaining ones?
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If you have a calculator with only the number 0 on it instead of all digits, how would you get it to display a 24?
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