Let’s say you want to play a new card game called Pokee. Every player is dealt 4 cards and everyone compares what hands they have to see who wins. Our job is to figure out what the hierarchy of the hands should be. Below is a list of several scoring hands that we wish to compare. For each hand, count how many hands of that type there are (include the expression you used to get that value) along with a simple explanation of how you got that expression. Assume a standard 52 card deck with 4 suits.
a) Presidential Flush (J, Q, K, Ace, all the same suit)
b) Straightish (4 consecutive cards)
c)Flushed (4 cards of the same suit)
d) House (Two pairs of different cards)