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Find the number of different arrangements of the word IKOTITINA.

Further Mathematics
WAEC 2012

Find the number of different arrangements of the word IKOTITINA.

  • A. 30240
  • B. 60840
  • C. 120960
  • D. 362880
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Correct Answer: Option A
Explanation

IKOTITINA has 9 letters with 2Ts and 3Is. Therefore, the number of different arrangements

= \(\frac{9!}{2!3!} = \frac{9.8.7.6.5.4}{2} = 30240\)


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