WAEC Further Mathematics 2012 Question 36

Question 36

Permutations and Combinations

Find the number of different arrangements of the letters of the word IKOTITINA.

  1. A.30240
  2. B.60840
  3. C.120960
  4. D.362880
Show the answer and explanation

Answer: A (30240)

Explanation

9 letters with I three times and T twice: 9!/(3! × 2!) = 362880/12 = 30240.