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Math Puzzles and Paradoxes




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Multi-Choosing Puzzle
An ice-cream parlour is offering a Mega-Bowl Special: 12 scoops of ice-cream in a bowl from any of 12 flavours. How many different mega-bowl options are there? In this video we explore the world of multi-choosing - choosing if repeats are allowed - and answer the mega-bowl puzzle.
Pile Splitting Puzzle
Here is a cute puzzle about slitting piles of coins. In this video I explain the mathematics of the puzzle AND how to go much further with the puzzle to find other astounding invariants that will surely amaze your friends!



Derangements and Hats
A lazy teacher hands 20 graded assignments back to his 20 students - randomly. What is the probability no student receives her own paper? A hat check clerk forgets who handed in which hat and so decides to return them at random. What are the chanced no-one receives his own hat? In this video we find a formula for the number of derangements of N objects and show the classic appearance for the number e.
Dots and Dashes
Here is a cute little mystery re sequences of counting numbers. It is solved by drawing diagrams of dots and dashes.


Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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