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

 Feb 10, 2022
 #1
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We can do this one by exclusion

Possible 4-letter "words"  =  (6)^4

Possible "words"  containing only the consonants listed  = (4)^4

 

So.....possible "words" with at least one vowel  =  ( 6)^4 - (4)^4  =  1296 - 256  =   1040

 

cool cool cool

 Feb 10, 2022

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