Permutation & Combination · Question 14 · Hard
In how many arrangements of the letters of the word PENCIL are the two vowels never together?
- 480
- 360
- 240
- 600
Answer and explanation
Answer: A. 480
Explanation: Total = 6! = 720. Vowels E, I together: treat as one unit, 5! × 2 = 240. Never together: 720 − 240 = 480.
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