Find the number of ways that the letters of the word EXCELLENCE be arranged
A
\(\frac{10!}{2!2!2!}\)
B
\(\frac{10!}{4!2!}\)
C
\(\frac{10!}{4!2!2!}\)
D
\(\frac{10!}{2!2!}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
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
Source: WAEC / JAMB / NECO Classroom Archive (Record #46346)