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Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?

Correct answer: B. 1440

  • A. 720
  • B. 1440
  • C. 1860
  • D. 2160

Explanation

MATERIAL has 4 vowels, A, E, I, A, which must form one block, along with the 4 consonants. These 5 objects can be arranged in 5! = 120 ways, while the vowels can be arranged within their block in 4!/2! = 12 ways because A is repeated. Therefore, 120 x 12 = 1440 arrangements. The likely trap is 720, which fails to account correctly for the vowel-block arrangements.

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