Question 1
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In how many ways can the letters of ARTICLE be arranged so that the vowels are never all together?
- A 4,320 Correct
- B 720
- C 5,040
- D 3,600
Correct Answer: Option A
All = 7! = 5,040
Vowels A, I, E together: 5! × 3! = 720
Not all together = 5,040 − 720 = 4,320
Trap: 720 is the "together" count.
Answer: 4,320
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