Discrete Math Question

Learning Goal: I’m working on a discrete math practice test / quiz and need an explanation and answer to help me learn.

Hello!I have run into some issues with discrete math.I have a poker set that includes one extra king of every colour.that means 56 cards where there are 8 kings and 4 of every other cardWhat are the chances of me getting full house when drawing 5 random cards?I first wrote a python program that told me there were 8544 combinations of full house (compared to the 3744 with a normal poker set)I have tried so many different possibilities but can never reach the 8544 supposed combinations.Can you please help me find the way to reach that number or tell me if the number is incorrect.

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