How many different permutations can you make with the letters in the word seventeen?

Step 1
A total of 7560 permutations are possible with the letters in the word Seventeen.
Explanation:
We can use the following formula:
If there are n objects with r types, then ${\displaystyle \frac{n!}{n_1!n_2!n_3!n_4!......n_r!}}$.
The word given is :
Seventeen
Observe that there is a total of 9 alphabets in the word.
The letter S appears 1 time
The letter E appears 4 times
The letter V appears 1 time
The letter N appears 2 times
The letter T appears 1 time
Step 2
We can calculate the different permutations as follows:
${\displaystyle \frac{\text{9 !}}{\text{1 ! 4 ! 1 ! 2 ! 1 !}}}$
${\displaystyle \Rightarrow \frac{\text{9 !}}{1\cdot 24\cdot 1\cdot 2\cdot 1}}$
${\displaystyle \Rightarrow \frac{362,880}{48}}$
${\displaystyle \Rightarrow 7560}$
Hence, a total of 7560 permutations are possible with the letters in the word Seventeen.