Maximum Number of Six Letter Words That the Language Can Employ

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An anthropologist discovers an isolated tribe whose written alphabet contains only six letters (call the letters A, B, C,D,E,and F). The tribe has a taboo against using the same letter twice in the same word. It is never done. If each different sequence of letters constitutes a different word in the language, what is the maximum number of six-letter words that the language can employ?

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Solution Preview

To find the maximum number of six-letter words that the language can employ we multiply the number of letters. For example: a=1, b=2, c=3, d=4, e=5 and f=6.

When we multiply 1*2*3*4*5*6 we get 720. This means that a total of 720 different 6-letter word sequences can be ...

Solution Summary

The solution describes the maximum number of six letter words that the language can employ.

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