1003024610

SubArea: 
Combinatorics
Level: 
A
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?
13!(2!)2⋅3!⋅5!=2162160
13!(2!)2+3!+5!=47900160
13!−(2!)2⋅3!⋅5!=6227017920
13!−|(2!)2+3!+5!|=6227020670