<PRE><B>Question 141937</B>
You separate the 12 face cards out of a deck of 52 cards.
Assume that the remaining cards have been shuffle. 
Select 3 cards from the pile of face cards. Show how you derive the sulution. Tell if combination or permutation and why.
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Part 1. How many ways are there of selecting one of each face card from the pile? 
# of ways to pick a king: 4C1 = 4
# of ways to pick a queen: 4C1 = 44
# of ways to pick a jack: 4C1 = 4
# of ways to pick one of each face card from the pile: 4*4*4 =64
You are applying the General counting Rule.
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Part 2. How many ways are there of selecting 3 of the same face cards (ie, 3 jacks, 3 queens, 3 kings). 
3 jacks: 4C3 = 4
3 queens: 4C3 = 4
3 kings: 4C3 = 4
# of ways to pick 3 kings, 3 queens, 3 jacks: 4*4*4 = 64
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Cheers,
Stan H.
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