I teach Maths to 10 - 13 year old children and these resources are aimed at them! I have also written a book called, "The Aliens have landed and 174 other problems" which is available from either Amazon or The Mathematical Association. It is full of mathematical puzzles. http://members.m-a.org.uk/Shop

docx, 236.33 KB
docx, 236.33 KB
This is an 8 page booklet which takes the pupils through the maths of calculating the number of ways an Enigma machine can be set up, using both permutations (the order of the rotors does matter) and combinations, where the order in which the plug board is set up doesn't matter.

The first two pages lead the pupils through the various calculations leading to the answer of approximately 158 million billion ways or 158,962,555,217,826,360,000 ways to be precise!

The remaining six pages explain the difference between permutations and combinations.


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