Find the number of ways that the letters of the word EXCELLENCE be arranged
- \(\frac{10!}{2!2!2!}\)
- \(\frac{10!}{4!2!}\)
-
\(\frac{10!}{4!2!2!}\)
- \(\frac{10!}{2!2!}\)
The correct answer is: 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
There is an explanation video available .