Find the number of ways that the letters of the word EXCELLENCE be arranged
A.
(10!2!2!)/2!
B.
(10!4!)/2!
C.
10!/4!2!2!
D.
10!/2!2!
Correct Answer: 10!/4!2!2!
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
10!/4!2!2!
ways to arrange
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
10!/4!2!2!
ways to arrange