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      Question

      One five letter word is to be formed taking all letters

      – U, Z, M, O and Q. What is the probability that this is word formed will contain all vowels together?
      A 5/12 Correct Answer Incorrect Answer
      B 7/12 Correct Answer Incorrect Answer
      C 3/5 Correct Answer Incorrect Answer
      D 2/5 Correct Answer Incorrect Answer
      E 3/10 Correct Answer Incorrect Answer

      Solution

      Total words that can be formed is 5!= 120 Now, vowels together Take: Z M Q and UO. So, their arrangement is 4!× 2! = 48 So, required probability = `48/120=2/5`

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