Need help with combinatorics
Join Date: Aug 2008
Posts: 1,725
Flop is mono with all spades (3 spades)
Deck has 13 spades
10 available spades
How many flush combos can villain have?
How does the math go?
Ty in advance
Join Date: Feb 2006
Posts: 24,647
If there are 3 spades on the board then there are 10 left. Therefore there are C(10,2) ways villain can have spades. This is 10*9/2 = 5*9 = 45
Join Date: Aug 2008
Posts: 1,725
I'm not sure if I understand your math. Where does the 9 come from?
Join Date: Sep 2002
Posts: 11,877
10 ways to choose the first club, times 9 ways to choose the second club, then divide by 2 so you don't count each one twice for the 2 possible orderings.
Join Date: Aug 2008
Posts: 1,725
Thanks. Made sense