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JEE Main2016MathematicsPermutation and CombinationActual

If all the words (with or without meaning) having five letters, formed using the letters of the word S M A L L and arranged as in a dictionary; then the position of the word S M A L L is

Options

  1. A52 n d
  2. B58 t h
  3. C46 t h
  4. D59 t h

Correct answer

B. 58 t h

Step-by-step solution

S M A L L Total number of words formed would be 5! 2! = 60 When arranged as per dictionary. The words starting from A A -   -   -   - 4! 2! = 12 The words starting from L L -   -   -   -   =   4! = 24 The words starting from M M -   -   -   -   = 4! 2! = 12 The words starting from S S   A -   -   -   = 3! 2! = 3 S   L -   -   -   3! = 6 S   M   A   L   L   = 1 ∴ Rank would be 12  

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