SOLUTION: A single card is drawn from a standard 52-deck of cards with four suits: hearts, clubs, diamonds, and spades; there are 13 cards per suit. If each suit has three face cards, how m

Algebra ->  Permutations -> SOLUTION: A single card is drawn from a standard 52-deck of cards with four suits: hearts, clubs, diamonds, and spades; there are 13 cards per suit. If each suit has three face cards, how m      Log On


   

Question 965714: A single card is drawn from a standard 52-deck of cards with four suits: hearts, clubs, diamonds, and spades; there are 13 cards per suit. If each suit has three face cards, how many ways could the drawn card be either a club of any kind or anything else beside a face card?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!



Out of these 52 cards
 
A♥   2♥   3♥   4♥   5♥   6♥   7♥   8♥  9♥  10♥  J♥  Q♥  K♥ 
A♦   2♦   3♦   4♦   5♦   6♦   7♦   8♦  9♦  10♦  J♦  Q♦  K♦
A♠   2♠   3♠   4♠   5♠   6♠   7♠   8♠  9♠  10♠  J♠  Q♠  K♠  
A♣   2♣   3♣   4♣   5♣   6♣   7♣   8♣  9♣  10♣  J♣  Q♣  K♣ 

The drawn card could be any of these 43 cards: 

A♥   2♥   3♥   4♥   5♥   6♥   7♥   8♥  9♥  10♥  
A♦   2♦   3♦   4♦   5♦   6♦   7♦   8♦  9♦  10♦  
A♠   2♠   3♠   4♠   5♠   6♠   7♠   8♠  9♠  10♠    
A♣   2♣   3♣   4♣   5♣   6♣   7♣   8♣  9♣  10♣  J♣  Q♣  K♣ 

Answer: 43 ways.  [Take out the 3 face cards from the other 3 suits 
besides clubs. That's 9 face cards that you cannot draw.  That leaves 
the above 52-9=43 cards that you can draw.] 

Edwin