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      Question

      How many numbers lie between 2000 and 3000 divisible by

      5 can be made with the digits 2, 3, 4, 5, 6, 7 and 8 without repeating any digit?
      A 20 Correct Answer Incorrect Answer
      B 14 Correct Answer Incorrect Answer
      C 16 Correct Answer Incorrect Answer
      D 18 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      Divisible of 5 means unit place must have 5 (since 0 is not in the list). And thousands place will always be 2. This leaves us with 5 digits (3, 4, 6, 7, 8) to be filled in 2 places (2 _ _ 5). This can be done in 5P2 ways or 20 ways. So 20 numbers can be formed. 

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