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.)

Guest May 11, 2019

#1**+1 **

Best Answer

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**-1 **

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

Hypotenuisance May 12, 2019