How many 8-letter words with or without meaning, can be formed such that consonants and vowels occupy alternate positions?
Consider the following for the next three (03) items that follow : Consider the word 'QUESTION' :
- A. 288
- B. 576
- C. 1152 ✓
- D. 2304
Correct Answer: C. 1152
Explanation
There are 4 vowels and 4 consonants. To alternate, the arrangement must be either VCVCVCVC or CVCVCVCV (2 possible patterns). In each pattern, the vowels and consonants can each be arranged in 4! ways. Total arrangements = 2 \times 4! \times 4! = 2 \times 24 \times 24 = 1152.
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