Multiple choice

How many 4 digit numbers greater than 5000 can be formed out of the digits 3, 4, 5, 6 and 7 ( no digit being repeated)?

  1. 72

  2. 27

  3. 70

  4. None of these
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A Correct answer
Explanation

For a 4-digit number to be greater than 5000, the first digit must be 5, 6, or 7 (3 choices). After choosing the first digit, we have 4 choices for the second digit, then 3 for the third, and 2 for the fourth, with no repetition allowed. Total = 3 × 4 × 3 × 2 = 72.

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