Message Board : Poker combination math problem

All hands will tie when the 5 cards on the board are:

AAAAK

KKKKA

QQQQA

JJJJA, etc to 2222A

Now, there are 4 combinations of each that are possible (because of 4 different danglers), so that’s 52 boards where everyone has the nuts.

Next are the Royal Straight flush boards.  There are 4 of those.

 Finally, there are the Broadway boards where a flush is not possible. 

These can take the suited form of abcdd and abbcc.  I’ll figure the combinations later.