An Enigma machine was a coding device invented in Germany at the end of world war 1. The total number of possible ways in which an Enigma machine could be set up was 158 million million million. Consider a small part of the alphabet, just the vowels. How many ways can you create a code for the vowels by assigning to each vowel a different vowel?

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e, a, o, u, i

e, a, u, i, o

e, i, a, u, o

e, i, o, u, a

e, i, u, a, o

e, o, a, u, i

e, o, u, a, i

e, o, u, i, a

e, u, a, i, o

e, u, o, a, i

e, u, o, i, a

i, a, e, u, o

i, a, o, u, e

i, a, u, e, o

i, o, a, u, e

i, o, e, u, a

i, o, u, a, e

i, o, u, e, a

i, u, a, e, o

i, u, e, a, o

i, u, o, a, e

i, u, o, e, a

o, a, e, u, i

o, a, u, e, i

o, a, u, i, e

o, i, a, u, e

o, i, e, u, a

o, i, u, a, e

o, i, u, e, a

o, u, a, e, i

o, u, a, i, e

o, u, e, a, i

o, u, e, i, a

u, a, e, i, o

u, a, o, e, i

u, a, o, i, e

u, i, a, e, o

u, i, e, a, o

u, i, o, a, e

u, i, o, e, a

u, o, a, e, i

u, o, a, i, e

u, o, e, a, i

u, o, e, i, a

44 different answers

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