Permutations and Combinations · Class 11 · CBSE · Science Mathematics

How many three-digit numbers can be formed using the digits 1, 2, 3, 4 and 5 without repetition?

Practice question from Permutations and Combinations (Class 11 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-6783E4

How many three-digit numbers can be formed using the digits 1, 2, 3, 4 and 5 without repetition?

  1. A.15
  2. B.30
  3. C.60Correct answer
  4. D.125

Solution

The number of arrangements is 5P3=5×4×3=60{}^{5}P_{3}=5\times4\times3=60.

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