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Permutations and Combinations · Discussion forum

Medium Level Question 9 – answer, explanation & discussion

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Question 9 Back to Exercise

How many 4-digit numbers divisible by 5 can be made from 0, 1, 2, 3, 5, 7 without repeating a digit?

  • A 120
  • B 60
  • C 108 Correct
  • D 96
Correct Answer: Option C

Ending in 0: 5 × 4 × 3 = 60

Ending in 5: first digit not 0 → 4 × 4 × 3 = 48

Total = 108

Trap: 120 lets 0 lead in the second case.

Answer: 108

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