SOLUTION: How many 5-letter words can be made out of 26 letters, repetition allowed, but not consecutive repetitions (that is, a letter may not follow itself in the same word) ?

Question 756651: How many 5-letter words can be made out of 26 letters, repetition allowed, but not consecutive repetitions (that is, a letter may not follow itself in the same word) ?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How many 5-letter words can be made out of 26 letters, repetition allowed, but not consecutive repetitions (that is, a letter may not follow itself in the same word) ?
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The 1st choice is 1 of 26.
Then 1 of 25
Then 1 of 25 (all but the preceding letter)
1/25
1/25
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= 26*25^4 = 10156250
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That's if by word you mean a group of 5 letters.
eg, axyzq is not a word. syzygy is, but it has 6 letters.
You can print the list of 10156250 and cross off all the non-words.
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