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Find the number of ways that the letters of the word EXCELLENCE be arranged

Find the number of ways that the letters of the word EXCELLENCE be arranged
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
  • A \(\frac{10!}{2!2!2!}\)
  • B \(\frac{10!}{4!2!}\)
  • C \(\frac{10!}{4!2!2!}\)
  • D \(\frac{10!}{2!2!}\)
Correct Answer: Option C
Explanation:
EXCELLENCE
It is a ten letter word = 10!
Since we have repeating letters, we have to divide to remove the duplicates accordingly. There are 4 Es, 2 Cs, 2 Ls
∴ there are
\(\frac{10!}{4!2!2!}\) ways to arrange

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