I do not like very much, when the problem is formulated this way, asking "could this happen",

because then INEVITABLY I should reformulate it, explaining what this "THIS" means, 

making the job of the author of the post, to whom it is his direct duty and responsibility.



The problem asks, in how many ways 3 items can be selected from 20 items, and in how many ways then 
14 items can be selected from the remaining 20-3 = 17 items.



The answer is:  in  . ways = . different ways.



Use your calculator.