Level:
Project ID:
1003024610
Accepted:
1
Clonable:
0
Easy:
0
In a high-speed train set, there should be the following cars included: \( 3 \) first class cars, \( 5 \) second class cars, \( 2 \) sleeping cars, \( 1 \) dining car, and \( 2 \) luggage cars. How many ways are there to arrange the cars in this high-speed train set?
\( \frac{13!}{(2!)^2\cdot3!\cdot5!}=2\:162\:160 \)
\( \frac{13!}{(2!)^2+3!+5!}=47\:900\:160 \)
\( 13!-(2!)^2\cdot3!\cdot5!=6\:227\:017\:920 \)
\( 13!-\left|(2!)^2+3!+5!\right|=6\:227\:020\:670 \)