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# help me when you can

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How many 3-letter "words" can be formed from the standard 26-letter alphabet, if the first letter must be a vowel (A, E, I, O, or U)? (We aren't necessarily talking about English words; something like EQX is perfectly valid here.)

May 11, 2019

#1
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Since each "word" must start with a vowel, there are  5  choices for the first letter.

Each of the following  2  letters can be any of the 26 letters of the alphabet.

Multiplying the choices together, we get  5 x 26 x 26 or  3380 possibilities.

May 11, 2019

#1
+1

Since each "word" must start with a vowel, there are  5  choices for the first letter.

Each of the following  2  letters can be any of the 26 letters of the alphabet.

Multiplying the choices together, we get  5 x 26 x 26 or  3380 possibilities.

geno3141 May 11, 2019
#2
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To solve this problem, do this...

(number of vowels)*(number of letters in the alphabet^2)

You will get 5*(26^2)

This is equal to 5*676 which is 3000+350+30.

3000+350+30 equals a total of 3380 ways.

~~Hypotenuisance

May 12, 2019