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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?

 Jan 25, 2016
 #1
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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).

 Jan 25, 2016

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