Six friends are taking a film history course and, because they have procrastinated, need to view several films the night before the final exam. They have rented a copy of each film on DVD, and they have a total of three DVD players in different dorm rooms. If each film is two hours long and they start watching at 8:00p.m., how soon can they all be finished watching the required films? Create a viewing schedule for the friends. Film A needs to be viewed by Brian, Chris, and Damon. Film B needs to be viewed by Allison and Fernando. Film C needs to be viewed by Damon, Erin, and Fernando. Film D needs to be viewed by Brian and Erin. Film E needs to be viewed by Brian, Chris, and Erin.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Six friends are taking a film history course and, because they have procrastinated, need to view several films the night before the final exam. They have rented a copy of each film on DVD, and they have a total of three DVD players in different dorm rooms. If each film is two hours long and they start watching at 8:00p.m., how soon can they all be finished watching the required films?
Create a viewing schedule for the friends.
Film A needs to be viewed by Brian, Chris, and Damon.
Film B needs to be viewed by Allison and Fernando.
Film C needs to be viewed by Damon, Erin, and Fernando.
Film D needs to be viewed by Brian and Erin.
Film E needs to be viewed by Brian, Chris, and Erin.
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