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The letters of the word 'OPTICAL' are to be arranged so that the vowels occupy only the even positions. How many ways are there?

Competition practiceProbability & Permutation
  • A720
  • B5,040
  • C288
  • D144

Step-by-Step Solution

Positions 2, 4, 6 take O, I, A in ways; the 4 consonants fill the rest in ways: .
Answer: D) 144

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