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

Further Mathematics
WAEC 2018

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

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

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

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


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