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MHT CET2018MathematicsProbability

Letters in the word HULULULU are rearranged. The probability of all three L being together is

Options

  1. A3 20
  2. B2 5
  3. C3 28
  4. D5 23

Correct answer

C. 3 28

Step-by-step solution

n ( S ) = 8 ! 4 ! 3 ! (total arrangements) n ( A ) = 6 ! 4 ! (Arrangement when all L together) So, the required probability is P ( A ) = n ( A ) n ( S ) = 6 ! 4 ! 8 ! 4 ! 3 ! = 6 ! × 3 ! 8 ! P ( A ) = 6 ! × 3 8 × 7 × 6 ! = 3 28

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