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Alphabetical Angle

Stage: 3 and 4 Short Challenge Level: Challenge Level:2 Challenge Level:2

There are 120 different arrangements of the five letters in the word ANGLE. If all 120 are listed in alphabetical order starting with AEGLN and finishing with NLGEA, which position in the list does ANGLE occupy?


If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.


This problem is taken from the UKMT Mathematical Challenges.
View the archive of all weekly problems grouped by curriculum topic