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WAEC Further Mathematics 2019 Question 36

Question 36

Permutations and Combinations

How many numbers greater than 200 can be formed from the digits 1, 2, 3, 4, 5 if no digit is to be repeated in any particular number?

  1. A.50
  2. B.60
  3. C.288
  4. D.300
Show the answer and explanation

Answer: C (288)

Explanation

3-digit numbers above 200: 4 × 4 × 3 = 48. 4-digit: 5 × 4 × 3 × 2 = 120. 5-digit: 5! = 120. Total 288.