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      Question

      In how many ways can the letters of the word PARALLEL be

      arranged so that all the L's do not come together?
      A 3360 Correct Answer Incorrect Answer
      B 2100 Correct Answer Incorrect Answer
      C 3000 Correct Answer Incorrect Answer
      D 2700 Correct Answer Incorrect Answer

      Solution

      Total letter in word PARALLEL =8 L=3times A=2times If all L are considered as one, then the number of letters is -6. A=2times Total ways of L come together =6! /2! =6Γ—5Γ—4Γ—3=360 Now total ways of L's do not come together=3360-360 =3000

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