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      Question

      In how many ways can the letters of the word ENGINEERING

      be arranged?
      A 2,87,400 Correct Answer Incorrect Answer
      B 2,77,200 Correct Answer Incorrect Answer
      C 3,28,400 Correct Answer Incorrect Answer
      D 3,08,640 Correct Answer Incorrect Answer
      E 2,14,800 Correct Answer Incorrect Answer

      Solution

      There are 11 letters in the word ENGINEERING and E occurs 3 times, I occurs 2 times, N occurs 3 times and G occurs 2 times Thus, the required number of arrangements = (11!)/(3! x 2! x 2! x 3!) = 2,77,200 ways

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