Fundamental Counting Principle These exercises involve the Fundamental Counting Principle.
Horse Race Eight horses compete in a race. (Assume that the race does not end in a tie.)
(a) How many different orders are possible for completing the race?
(b) In how many different ways can first, second, and third places be decided?
The possible number of orders for completing the horse race.
There are horses in the race.
Fundamental Counting Principle: If two events and occur in order and occur in ways and occur in ways, then the two events can occur in order in ways.
There are eight selection stages.
The number of ways in which the first, second, and third places can be decided.
Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!Get Started