From the letters of the word CONSEQUENCES, how many distinct 8-letter words can be formed if the word must start and end with a vowel?
Show answer & explanation
Correct answer: A
Explanation
There are 12 letters in CONSEQUENCES, all of which are vowels:
E, E, E, O, U → 5 vowels in total.
An 8-letter word must be formed, beginning and ending with a vowel.
The number of ways to choose two vowels for the beginning and end = 5 C2 = 10.
The number of ways to choose the middle six letters from the remaining 10 letters = 10 C6 = 210.
The correct answer from the given options: 210.