Apresidential candidate plans to begin her campaign by visiting the capitals in 33 of 4040 states. what is the probability that she selects the route of threethree specific capitals?

Correction of the question:

Capitals are 3 of 40 and then three specific capitals...

Solution:
If three specific routes of capitals are chosen, then these will be done without replacement. Therefore,

P(route 1) = 1/40
P(route 2) = 1/39
P(route 3) = 1/38

Therefore,
P(3 routes) P(route 1&route 2& route 3) = 1/40*1/39*1/38 = 1/59280