Practice30Create account

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

Competition practiceProbability & Permutation
  • A40
  • B25
  • C36
  • D20

Step-by-Step Solution

Case 1 — units digit 0: the hundreds place has 5 choices (1-5) and the tens place 4 left, giving 20. Case 2 — units digit 5: the hundreds place cannot be 0, so it has 4 choices, and the tens place has 4 left, giving 16. Total = 20 + 16 = 36. The value 40 comes from forgetting that a number cannot begin with 0.
Answer: C) 36

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Probability & Permutation practice questions

More Probability & Permutation practice

At a meeting every person shook hands exactly once with every other person present, and…A polygon has 12 sides. Counting the combinations of two vertices that are not adjacent,…In how many ways can 10 identical chocolates be distributed among 4 children if every…In how many ways can 5 different prizes be given away to 3 students, if each student is…A box holds 5 red pens, 4 blue pens and 3 green pens, all distinguishable. In how many…