Permutation & Combination · Question 22 · Medium

In how many arrangements of the letters of the word TABLE do the vowels occupy only the 2nd and 4th positions?

  1. 24
  2. 36
  3. 6
  4. 12
Answer and explanation

Answer: D. 12

Explanation: The vowels A and E fill positions 2 and 4 in 2! ways, and T, B, L fill the other three positions in 3! ways: 2 × 6 = 12.

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