Five-Card Stud. A hand of five-card stud poker consists of an ordered arrangement of five cards from an ordinary deck of 52 playing cards.

a. How many five-card stud poker hands are possible?

b. How many different hands consisting of three kings and two queens are possible?

c. The hand in part

(b) is an example of a full house: three cards of one denomination and two of another. How many different full houses are possible?

d. Calculate the probability of being dealt a full house.