Multiple choice

How many distinct three-letter words (not necessarily meaningful) can be formed using the letters P, Q, R, S, U, and E, if each word must contain at least one vowel?

  1. 24

  2. 96

  3. 120

  4. None of these

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B Correct answer
AI explanation

There are 6 letters in total consisting of 4 consonants and 2 vowels, so the total number of possible three-letter words is 6 x 5 x 4 = 120. The number of words containing no vowels (only consonants) is 4 x 3 x 2 = 24. Subtracting the words with no vowels from the total gives 120 - 24 = 96.