SOLUTION: In a spanish deck of cards; how many ways can you make a full house?

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Question 439867: In a spanish deck of cards; how many ways can you make a full house?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
A traditional Spanish deck is not an ordinary deck. It
has 40 cards, not 52.  It consists of four suits of ten 
numbered cards (1-7, and 10-12, with 10,11 and 12 being
picture cards). [There are no 8s or 9s]

A full house consists of 5 cards, a pair and a 3-of-a-kind.

We can choose the number for the pair as any of 10 numbers.
For each of those 10 ways to choose the number for the pair,
we can choose the suits for the pair any of 4C2 ways. That's 
10*4C2 ways.  

For each of these 10*4C2 ways to choose a number and suits
for the pair, we can choose the number for the 3-of-a-kind 
as any of the 9 numbered cards that we did not choose for
the pair.  For each of those 9 ways to choose the number 
for the 3-of-a-kind, we can choose the suits for the 
3-of-a-kind any of 4C3 ways.  That's 9*4C3 to pick the
3-of-a-kind for each of the 10*4C2 ways to pick the pair.
So the answer is

10*4C2*9*4C3 = 2160 ways.

Edwin