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In how many ways can the word MACICITA be arranged?

Mathematics
JAMB 2017
In how many ways can the word MACICITA be arranged?
  • A. \(\frac{8!}{2!}\)
  • B. \(\frac{8!}{3! 2!}\)
  • C. \(\frac{8!}{2! 2! 2!}\)
  • D. 8!
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Correct Answer: Option C
Explanation
MACICITA is an eight letter word = 8!

Since we have repeating letters, we have to divide to remove duplicates accordingly. There are 2A, 2C, 2I

∴ \(\frac{8!}{2! 2! 2!}\)

There is an explanation video available below.

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Explanation Video

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