Skip to main content
OlympiadHQ

Browse · MATH

Print

jmc

prealgebra intermediate

Problem

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.)
Solution
The first letter can be one of the 5 vowels, and each of the next two letters can be one of the 26 letters. There are such words.
Final answer
3380