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WAEC Further Mathematics 2025 Question 36

Question 36

Permutations and Combinations

How many three and four digits odd numbers can be formed with the numbers 0, 1, 2, 4 and 5 if repetitions are not allowed?

  1. A.54
  2. B.64
  3. C.72
  4. D.120
Show the answer and explanation

Answer: A (54)

Explanation

The last digit must be 1 or 5 (2 ways) and the first can't be 0. Three-digit: 2 × 3 × 3 = 18. Four-digit: 2 × 3 × 3 × 2 = 36. Total 54.