The game of mousetrap was introduced by Arthur Caley in the 1800s in the quarterly journal of applied mathematics. Today we'll look at some questions and results concerning the game of mousetrap and the permutations it involved. We'll see modular mousetrap and reformed permutations. #maths #mathematics
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SOURCES
1. Cayley, Arthur (1878), "On the game of Mousetrap", Quarterly Journal of Pure and Applied Mathematics, 15: 8–10.
2. https://en.wikipedia.org/wiki/Derangement
3. Guy, Richard K., and Richard J. Nowakowski. “Mousetrap.” The American Mathematical Monthly, vol. 101, no. 10, 1994, pp. 1007–10.
4. Daniel J. Mundfrom, A Problem in Permutations: the Game of 'Mousetrap', European Journal of Combinatorics, Volume 15, Issue 6, 1994, Pages 555-560, ISSN 0195-6698,
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0:00 The Game of Mousetrap
3:30 Cayley's Analysis
6:28 Winning in Order
8:58 Counting Permutations
15:51 The Second Hit
19:28 Reformed Permutations
22:54 Modular Mousetrap
27:51 Conclusion