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Permutations and Combinations · Discussion forum

Medium Level Question 11 – answer, explanation & discussion

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Question 11 Back to Exercise

In how many ways can the letters of INSTITUTE be arranged?

  • A 60,480
  • B 30,240 Correct
  • C 3,62,880
  • D 15,120
Correct Answer: Option B

9 letters: T three times, I twice

9! ÷ (3! × 2!) = 3,62,880 ÷ 12 = 30,240

Trap: 60,480 divides only for the Ts.

Answer: 30,240

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