# Maximum Number of Six Letter Words That the Language Can Employ

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.