**compute the number of a 5-card poker hands containing four 10s.**

d) Compute the number of a 5-card poker hands containing any “four of a kind”. Hint: think, how many kinds are in the standard 52-card deck.

e) Three of a kind and a pair is a poker hand, that contains three cards of one rank and two cards of another (unmatched) rank. Compute the number of a 5-card poker hands containing three Aces and two Kings.

(f) Compute the number of a 5-card poker hands containing three 2s and two 3s.

g) Compute the number of a 5-card poker hands containing any “three of a kind and a pair”.

h) Compute the number of a 5-card poker hands containing 2 red Aces, 2 black Kings, and 1 red queen.

i) Compute the number of a 5-card poker hands containing 2 any Aces, 2 any Kings, and 1 any queen.

**Answer:**

the number of a 5-card poker hands containing four 10s : 52-4=48

d) 48*13=624
e) 4C3*4C2=24

f) 24

g) 13

*12*24=3744

h) 2C2

*2C2*2C1=2

i) 4C2

*4C2*4C1=144