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What is the total number of unique words that can be formed with the letters of the...

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tonys538 | Student, Undergraduate | Salutatorian

Posted September 19, 2013 at 6:36 PM via web

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What is the total number of unique words that can be formed with the letters of the word DILBERT

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted September 19, 2013 at 6:46 PM (Answer #1)

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The word DILBERT has 7 letters none of which are common. The number of letters in the words that can be created using these letters ranges from 1 to 7.

The number of words with 1 letter is 7

The number of words with 2 letters is 7^2 = 49

The number of words with 3 letters is 7^3 = 343

The number of words with 4 letters is 7^4 = 2401

The number of words with 5 letters is 7^5 = 16807

The number of words with 6 letters is 7^6 = 117649

The number of words with 7 letters is 7^7 = 823543

In all 960799 words can be created using the letters of the word DILBERT.

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