14.7. Counting Practice: Poker Hands 569
14.7.2 Hands with a Full House
AFull Houseis a hand with three cards of one rank and two cards of another rank.
Here are some examples:
f 2 ; 2|; 2}; J|; J}g
f 5 }; 5|; 5~; 7~; 7|g
Again, we shift to a problem about sequences. There is a bijection between Full
Houses and sequences specifying:
- The rank of the triple, which can be chosen in 13 ways.
- The suits of the triple, which can be selected in