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English has  letters that can be vowels. This includes Y, which can be either a consonant or a vowel; for this problem, we'll consider Y a vowel.

The other  English letters are always consonants.

How many two-letter "words" can we make from these letters if we are required to use at least one vowel? (We aren't limited to words that have an actual meaning in English. Thus, for this problem, we'll include nonsense "words" like QO, XY, and UZ.)

 May 11, 2020
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For this problem, there are 6 vowels and 20 consonants.

 

Each two letter "word" ust have at least one vowel. They can look like:

C-V     =     20 x 6   =  120

V-C     =     6 x 20   =  120

V-V     =      6 x 6    =  36

 

So, we can have  120 + 120 + 36  =  276  different "words".

 May 11, 2020

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