How many 4-letter words each of two vowels and two consonants with or without meaning, can be formed?
Consider the following for the next three (03) items that follow : Consider the word 'QUESTION' :
- A. 36
- B. 144
- C. 576
- D. 864 ✓
Correct Answer: D. 864
Explanation
The word 'QUESTION' has 4 vowels (U, E, I, O) and 4 consonants (Q, S, T, N). The number of ways to choose 2 vowels and 2 consonants is C(4,2) \times C(4,2) = 6 \times 6 = 36. These 4 letters can be arranged in 4! = 24 ways. Total words = 36 \times 24 = 864.
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