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In how many ways can the letters of the word ‘ELECTIVE’ be arranged?

In how many ways can the letters of the word ‘ELECTIVE’ be arranged?

  • A.
    336
  • B.
    1680
  • C.
    6720
  • D.
    20160
Correct Answer: Option C
Explanation

The word has 8 letters with one letter repeated 3 times, therefore we have:

(frac{8!}{3!} = 6720) ways.