Problem 33: In an eight-team football conference, each team plays every
other team once. How many games must be played?


Problem 37: How many ways can you choose 5 out of 10 friends to invite
to a dinner party?



Problem 60: Most racetracks have "compound bets" on two or more horses.
An exacta is a bet in which the first and second finishers in a race
are specified in order. A quinella is a bet on the first two finishers
in a race, with order not specified. With a field of 9 horses, how many
different exacta bets can be placed? Quinella bets?


Problem 64: On a children's baseball team there are 4 players who can play
at any one of the following infield positions: catcher, first base,
third base, and shortstop. There are 5 possible pitchers, none of whom play
any other position. And there are 4 players who can any of the 3
outfield positions (right, center, or left field,) or second base. In
how many ways can the coach assign players to positions?