Permutation & Combination · Question 27 · Hard

How many 5-digit numbers divisible by 5 can be formed using the digits 0, 1, 2, 3, 4, 5 if no digit is repeated?

  1. 120
  2. 216
  3. 192
  4. 240
Answer and explanation

Answer: B. 216

Explanation: Ending in 0: the other four places use 5P4 = 120 ways. Ending in 5: the first digit cannot be 0, so 4 choices, then 4 × 3 × 2 for the middle: 96. Total = 120 + 96 = 216.

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