In poker, there are a total of 2,598,960 possible combinations of hands that can be made. This number is determined by the fact that there are 52 cards in a deck, and you need to choose 5 of them for your hand.
The mathematical formula for this is 52C5, which is read as “52 choose 5”.
To break this down further, there are a few different ways to look at it. If you just want to know how many different ways there are to make a certain hand, like a flush or a full house, you can use the following formulas:
Flush: 4*(13C5) = 5108
Full House: 13*(12C2) = 3744
However, if you want to know the probability of making any given hand, you need to use a different set of numbers. This is because the probability of making a hand is affected by the number of cards that are left in the deck after you’ve chosen your hand.
For example, the probability of making a flush is 4/52 times 3/51 times 2/50 times 1/49 = 0.00198079231692708.
So, in conclusion, there are 2,598,960 possible combinations of poker hands that can be made, but the probability of making any given hand depends on the number of cards that are left in the deck after you’ve chosen your hand.