#4:
In bridge each of 4 players, North, South, East, West, is dealt 13 cards to form
their unordered hand of cards.
The deck has 52 cards of 4 suits, Clubs, Hearts, Diamonds, Spades, with 13 of
each: 52 = 4 × 13. There are 13 kinds, for example Aces, Kings, which appear 4
times, one with each suit: 52 = 13 × 4.
a) How many ways can the cards be distributed to the 4 players to form the four
unordered selections ?
b) What is the probability that West gets all 13 of the spades ?
c) What is the proability that each player gets an Ace ?