I had to do this a few times before getting the right answers it seems pretty complicated at first to remember all the calcuations, although I am going to do it a few more times could I have another example or two to work through today and I can PM you my answers I find it off putting seeing the answers in this thread
For this one, I was hoping that the people taking this course would collaborate a bit and talk about how they got their answers. If you want more examples to do, then feel free to make up your own and just post them here, and I'll check over your answers for you (and others can chime in to talk about it to).
Also, let's make sure not to over-complicate what we're doing here. For non-pair hands, decide on the number of each card left in the deck and multiply those numbers. For paired hands, follow the 6310 shortcut where if there are none of the card shown it's 6, if one of the cards is shown it's 3, if two of the cards are shown it's 1, and if three of the cards are shown it's 0.
I'll give a few more examples here and include the answers in spoiler tags so you can look at them when you're ready:
We hold JT on QT9. Find the combinations for the following hands:
AK -
Spoiler:
There are four aces and four kings left in the deck, so we do 4 * 4 to get 16.
AQ -
Spoiler:
Four aces and three queens left in the deck (there's a queen on the flop). That gives us 4 * 3 = 12.
AT -
Spoiler:
Four aces, two tens (there's one on the flop and one in our hand), so it's 4 * 2 = 8.
QT -
Spoiler:
Three queens (there's one on the flop) and two tens (since there's one on the flop/one in our hand). 3 * 2 = 6.