transit bus has 8 window seats and 12 aisle seats

[Guest]

A small transit bus has 8 window seats and 12 aisle seats. Ten passengers board the bus and select seats at random. How many seating arrangements have all the window seats occupied in which passnger is in a seat

a) does not matter?

the answer in the back of the book is 66. I got that answer by doing 12C10, but I thought thatwas how many combos in the seats WITHOUT windows..?

 

[arthur ohlsten]

from the 8 window seats we choose 8..... 8C8
from the 12 aisle seats we choose 2.......12C2

total combinations= 8C8 x 12C2
total = 8!/[8!0!] x 12!/[2!10!]
total= 12*11/1*2
total=66 answer
Arthur