Multiple choice

In how many different ways can the letters of the word (\text{'LAXMAN'}) be arranged in such a way that the vowels always come together?

  1. 120

  2. 720

  3. 360

  4. 240

  5. None of these
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A Correct answer
Explanation

In 'LAXMAN', vowels are A, A (2 vowels). Treat them as one unit: (LXMN) + (AA) = 5 entities. These can be arranged in 5! = 120 ways. Within the vowel unit, AA can be arranged in 2!/2! = 1 way (identical vowels). Total: 120 × 1 = 120 ways.

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