In how many different ways can the letters of the word 'SUCCESS' be arranged?

Question: In how many different ways can the letters of the word 'SUCCESS' be arranged?

Solution:
The word 'SUCCESS' consists of 7 letters.
Here,
Number of letters, S = 3
Number of letters, C = 2

∴ Number of arrangements = 7!/(3! × 2!)
= 5040/12
= 420