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In how many ways can the letters of NUMBER be arranged so that the vowels occupy only the odd positions (1st, 3rd, 5th)?

Competition practicePermutations & Combinations
  • A72
  • B720
  • C36
  • D144

Step-by-Step Solution

Vowels U and E go into 2 of the 3 odd places: . The 4 consonants fill the rest: . Total .
Answer: D) 144

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