football teams are competing in a knock-out tournament. Each game has a winner, there are no draws, and the losing team is out of the tournament. How many games need to be played in order for a tournament champion to be determined?
For two sets is a bijective function from to . What is the value of ?
For the two sets and how many bijective functions are possible from to ?
Suppose is a bijective function from to . If what value of satisfies
Suppose is a bijective function from to . If what value of satisfies