Thad:  I think the relevant quantities in context would be ten or more doubles and five or more boxcars.  As far as your calcs go, I think the 10 doubles figure has to be multiplied by the combinations of 10 items chosen from 45, which I think is 45!/(10!*35!).  A comparable adjustment needs to be made to the second calc, but I don't have time to work it out :-)