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Permutations and Combinations · Discussion forum

Medium Level Question 10 – answer, explanation & discussion

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Question 10 Back to Exercise

How many arrangements of the letters of EQUATION begin with a vowel?

  • A 40,320
  • B 5,040
  • C 15,120
  • D 25,200 Correct
Correct Answer: Option D

8 different letters, 5 of them vowels

First place: 5 ways; rest: 7! = 5,040

5 × 5,040 = 25,200

Answer: 25,200

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