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In how many arrangements of the letters of ALGEBRA do the vowels occupy only the even places (2nd, 4th and 6th)?

Competition practicePermutations & Combinations
  • A144
  • B36
  • C72
  • D2520

Step-by-Step Solution

Vowels A, E, A fill the 3 even places: ways. Consonants L, G, B, R fill the 4 odd places: . (144 treats the two A's as different.)
Answer: C) 72

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