Re: Question??
Annie,
In step 1 we don't care about all the possible orderings of the 3 cards on the flop, so we divide by 6 which is the number of ways to order the 3 cards from each flop. 6 = 3 factorial = 3! = 3*2*1 = 6.
In step 2, 28*27 counts every possible xy pair twice, so we divide by 2. 2! = 2*1 = 1.
Not to confuse you, but another way to do this is to not do this division and count all possible orderings in both cases. In step 1 we would have 32*31*30. In step 2 we would have 4*28*27*3. We multiply by 3 because there are now 3 places the A or K an go. The final ratio is the same.
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