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How many ways can you rearrange the letter in INFINITY?

 Jun 3, 2021
 #1
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8!/(3!2!)

 Jun 3, 2021
 #2
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8 letters total

3 I's

2 N's

1 of everything else

 

$\frac{8!}{3!2!} = 4 \cdot 7 \cdot 6 \cdot 5 \cdot 4 = 20 \cdot 24 \cdot 7 = 140 \cdot 24 = \boxed{3360}$


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