Multiple choice

How many four-letter words can be formed if the first and the last letters are vowels (if repetition is allowed)?

  1. 8,400

  2. 10,500

  3. 16,900

  4. 17,200
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A four-letter word has 4 slots. The first and last slots must be vowels (A, E, I, O, U), so there are 5 choices for each. The middle two slots can be any of the 26 letters of the alphabet. Thus, the total number of words is 5 * 26 * 26 * 5 = 16,900.

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