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 is C

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