How many 8-letter words with or without meaning, can be formed so that <strong>ALL</strong> consonants are together?
Consider the following for the next three (03) items that follow : Consider the word 'QUESTION' :
- A. 5760
- B. 2880 ✓
- C. 1440
- D. 720
Correct Answer: B. 2880
Explanation
Group the 4 consonants together as a single block. This block along with the 4 vowels forms 5 entities, which can be arranged in 5! = 120 ways. The 4 consonants within the block can be arranged in 4! = 24 ways. The total number of words is 120 \times 24 = 2880.
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