Multiple choice

Numbers of ways to arrange the letters of the word 'FIGMENT' when vowels at first and last positions is :

  1. 120

  2. 240

  3. 360

  4. 720
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B Correct answer
Explanation

Word 'FIGMENT' has 7 letters: F, I, G, M, E, N, T. Vowels are I, E. If vowels are at first and last, there are 2! ways to arrange vowels. The remaining 5 letters can be arranged in 5! = 120 ways. Total = 2 * 120 = 240.

AI explanation

The word FIGMENT has 2 vowels (I, E) and 5 consonants. Using the permutations formula, arrange the 2 vowels at the first and last positions in 2! = 2 ways. Arrange the 5 consonants in the 5 middle positions in 5! = 120 ways. The total number of arrangements is 2 * 120 = 240. The result is 240.

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