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Bin Packing (Simplified Version)

You have n1 items of size s1, n2 items of size s2, and n3 items of size s3. You'd like to pack all of these items into bins each of ...


Help the man move the wolf, sheep and cabbage to the opposite shore

a guard has to take a wolf, a sheep and cabbage across a stream in a boat. the boat has room for the guard and one of the above.

Tags: puzzle

Baker and cakes

A baker sells on the average 20 cakes in one day. What is the probability that he
sells an even number of cakes on any given day? (We assume ...


A Putnam Exam Problem

In a game, one scores on a turn either 'a' points or 'b' points, a and b positive integers with b<a. Given that there are 35 nonattainable cumulative scores, and ...


Dice game

You can roll a 6-side dice up to 3 times. After the first or the second roll, if you get an number x, you can decide either to get x ...