JAMB - Mathematics (2017 - No. 31)

In how many ways can the word MACICITA be arranged?
\(\frac{8!}{2!}\)
\(\frac{8!}{3! 2!}\)
\(\frac{8!}{2! 2! 2!}\)
8!

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

∴ \(\frac{8!}{2! 2! 2!}\)

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