In the game of blackjack, a 2-card hand consisting of an ace and either a face card or a 10 is called a "blackjack." If a standard 52-card deck is used, determine how many blackjack hands can be dealt. (A "face card" is a jack, queen, or king.)

Question

kinggeorge · Answer

Well, first off, how many ace cards are there, and how many face cards are there?

kinggeorge · Answer

Once you find how many ace cards and how many face cards there are, just multiply them together.

anonymous · Answer

there are 4 ace cards and 4 of each face card and 4 10s so do i mulitiple $$4\times4^{4}\times4$$

kinggeorge · Answer

There are definitely 4 aces, 4 of each face card, and 4 tens. If you combine the face cards with the tens, you have 4 face cards or tens of each suit, so there are $4*4=16$ total face cards or tens. 

So there should be $4*16 = 4^3=64$ blackjack hands.

anonymous · Answer

kk thanks

kinggeorge · Answer

You're welcome.