+0  
 
0
305
2
avatar

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

Best Answer 

 #1
avatar+17863 
+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.

 May 11, 2019
 #1
avatar+17863 
+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
avatar+128 
-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

 May 12, 2019

24 Online Users

avatar
avatar