Hi Lance and Fellowes,
You are playing a poker game called "Omaha" and are dealt 4 cards from a standard 52 card deck. How many possible combinations of hands can you be dealt that contain both at least one Ace and at least one King? Please explain your answer.
It would be easier for me to check if you had given some number answers
I am not sure if my logic is the same as yours or not.
A for ace, K for king, x for any other card
1ace
AKxx 4*4* 44C2 = 15136
AKKx 4*4C2*44 = 1056
AKKK 4* 4C3 = 16
2 aces
AAKx 4C2 * 4 * 44 = 1056
AAKK 4C2 * 4C2 = 36
3 aces
AAAK 4C3 * 4 = 16
15136+1056+16+1056+36+16 = 17316
That is what I think anyway :)