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How many 4-letter words with at least one consonant can be constructed from the letters A, B, C, D, and E? (Note that B, C, and D are consonants, any word is valid, not just English language words, and letters may be used more than once.)

 

Remember, consonant is NOT a vowal. 

 Apr 16, 2020
 #1
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The number of four-letter "words" (without any restrictions) is 5 x 5 x 5 x 5

 

The number of "words" withou any consonants is 2 x 2 x 2 x 2.

 

Subtract the second answer from the first to find the number of words that have at least one consonant.

 Apr 16, 2020

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