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's never done.
If each different sequence of letters constitues a different
word in the language, what is the maximum number of
six-letter words that the language can employ?
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Answer Posted / guest
The language can employ maximum of 720 six-letter words.
It is a simple permutation problem of arranging 6 letters to
get different six-letter words. And it can be done in in 6!
ways i.e. 720 ways.
In otherwords, the first letter can be any of the given 6
letters (A through F). Then, whatever the first letter is,
the second letter will always be from the remaining 5
letters (as same letter can not be used twice), and the
third letter always be from the remaining 4 letters, and so
on. Thus, the different possible six-letter words are
6*5*4*3*2*1 = 720
| Is This Answer Correct ? | 9 Yes | 1 No |
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