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UI Post-UTME Mathematics 2025 (Model questions) Question 9

Question 9

Permutation and Combination

How many 4-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 without repetition?

  1. A.300
  2. B.240
  3. C.200
  4. D.180
Show the answer and explanation

Answer: D (180)

Explanation

The last digit must be 2, 4 or 6 (3 ways); the other three places can be filled in 5 × 4 × 3 = 60 ways. Total = 3 × 60 = 180.