Join ExamsbookAnswer : 4. "3600"
In how many different ways can the letters of the word 'THERAPY' be arranged so that the vowels never come together?5
Q: In how many different ways can the letters of the word 'THERAPY' be arranged so that the vowels never come together?
- 11440false
- 2720false
- 32250false
- 43600true
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Answer : 4. "3600"
Explanation :
Answer: D) 3600 Explanation: Given word is THERAPY. Number of letters in the given word = 7 These 7 letters can be arranged in 7! ways. Number of vowels in the given word = 2 (E, A) The number of ways of arrangement in which vowels come together is 6! x 2! ways Hence, the required number of ways can the letters of the word 'THERAPY' be arranged so that the vowels never come together = 7! - (6! x 2!) ways = 5040 - 1440 = 3600 ways.