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JAMB Mathematics 2008 Question 47

Question 47

Permutation and Combination

In how many ways can the letters of the word ACCEPTANCE be arranged?

  1. A.10!/(2! 2! 3!)
  2. B.10!/(2! 3!)
  3. C.10!/(2! 2!)
  4. D.10!
Show the answer and explanation

Answer: A (10!/(2! 2! 3!))

Explanation

There are 10 letters with A twice, C three times and E twice, so the number of arrangements is 10!/(2! 3! 2!).