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# Bell Ringing

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

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Age 11 to 14

Challenge Level

- 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 .