how many different three-card hands with one ace and one ten can be dealt from a standard deck of 52 playing cards?
and how does one go about getting the answer?
There 4 ways of getting an Ace.
For each of these there are 4 ways of getting a ten.
For each of these combinations there are 52-8 = 44 ways of getting a card that is neither an ace nor a ten.
So altogether there are 4*4*44 = 704 ways.
(This assumes the order in which they are dealt does not matter).
.