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Permutations and Combinations · Discussion forum

Hard Level Question 2 – answer, explanation & discussion

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Question 2 Back to Exercise

How many distinct arrangements are there of all the letters of ENGINEERING?

  • A 2,77,200 Correct
  • B 5,54,400
  • C 1,38,600
  • D 39,916,800
Correct Answer: Option A

11 letters: E 3, N 3, G 2, I 2, R 1

11! ÷ (3! 3! 2! 2!) = 2,77,200

Trap: 5,54,400 divides for one I/G pair only.

Answer: 2,77,200

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