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Permutations and Combinations · Discussion forum

Medium Level Question 8 – answer, explanation & discussion

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Question 8 Back to Exercise

How many numbers greater than 4,000 can be formed with the digits 3, 4, 5, 6, 7 using four different digits?

  • A 96 Correct
  • B 120
  • C 72
  • D 24
Correct Answer: Option A

First digit 4, 5, 6 or 7: 4 ways

Others: 4 × 3 × 2 = 24

4 × 24 = 96

Trap: 120 allows 3 to lead.

Answer: 96

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