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JAMB Mathematics 2000 Question 43

Question 43

Permutation and Combination

In how many ways can the word MATHEMATICS be arranged?

  1. A.11!/(9!2!)
  2. B.11!/(9!2!2!)
  3. C.11!/(2!2!2!)
  4. D.11!/(2!2!)
Show the answer and explanation

Answer: C (11!/(2!2!2!))

Explanation

MATHEMATICS has 11 letters with M, A and T each appearing twice. The number of arrangements is 11!/(2!2!2!).