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Bell Ringing

Age 11 to 14
Challenge Level Yellow starYellow star
  • Problem
  • Student Solutions

We liked the solutions from Jake and Polly of West Flegg Middle School, Great Yarmouth.


NRICH can change to RNICH, RNCIH, RNIHC, NIRCH, NIRHC, NRCIH and NRIHC.
A peal of bells in which the 24 permutations of 4 bells are rung once each is given by
1234
2143
2413
4231
4321
3412
3142
1324
3124
1342
1432
4123
4213
2431
2341
3214
2314
3241
3421
4312
4132
1423
1243
2134
1234

For other solutions see the article Ding Dong Bell .



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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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