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

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

Solution:
Total no. of letters in the word 'INSTITUTE' = 9
Repeating letters:
I = 2 times
T = 3 times
∴ Required no. of ways = 9!/(2! × 3!)
= (9 × 8 × 7 × 6 × 5 × 4)/2
= 30240