How many ways can you rearrange the letter in INFINITY?
8!/(3!2!)
8 letters total
3 I's
2 N's
1 of everything else
$\frac{8!}{3!2!} = 4 \cdot 7 \cdot 6 \cdot 5 \cdot 4 = 20 \cdot 24 \cdot 7 = 140 \cdot 24 = \boxed{3360}$
+876 
