1003024611

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1003024611
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On a lock of a safe deposit box a ten-digit code can be set. The code can consist only of four \( 1 \)s, three \( 2 \)s, two \( 3 \)s, and one \( 4 \). How many ways are there to set the code?
\( \frac{10!}{4!\cdot3!\cdot2!} = 12\:600 \)
\( \frac{10!}{4!+3!+2!}=113\:400 \)
\( 10!-4!\cdot3!\cdot5!=3\:628\:512 \)
\( 10! = 3\:628\:800 \)