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WAEC Further Mathematics 2025 Objective — Question 36

Question 36 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2025 Objective paper, with the correct answer and a full explanation.

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

  • A. 54Correct
  • B. 64
  • C. 72
  • D. 120

Explanation

3-digit odd numbers: units must be 1 or 5 (2 ways), hundreds can't be 0 (3 ways), tens (3 ways) = 18. 4-digit odd numbers: units 2 ways, thousands can't be 0 (3 ways), remaining 2 places (3×2) = 36. Total = 18+36 = 54.

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