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!})
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
There is an explanation video available below.