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      Question

      How many four digit numbers greater than 5000 can be

      formed with the digits 4 ,5, 7, 8, and 9?  
      A 216 Correct Answer Incorrect Answer
      B 210 Correct Answer Incorrect Answer
      C 96 Correct Answer Incorrect Answer
      D 310 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      For 4 digit numbers greater than 5000, at thousands’ place, only 5, 7, 8 & 9 can be placed and remaining 4 digits can be placed in at remaining three places = (4) × 4 x 3 ×2 = 96

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