110 likes | 121 Views
Algebra II 6-7. Permutations and Combinations. Think of four places you want to visit. If you visit each city once, how many different paths can you take? List all possible paths of all four cities List all possible paths, using only 3 cities List all possible paths, using only 2 cities
E N D
Algebra II 6-7 Permutations and Combinations
Think of four places you want to visit • If you visit each city once, how many different paths can you take? • List all possible paths of all four cities • List all possible paths, using only 3 cities • List all possible paths, using only 2 cities • List all possible paths, using only 1 city
Permutation • Finding the possible number of ways to order a set of objects. • Factorial:
A baseball team has 15 players. How many batting orders of 9 players can the manager create?
In the 100 meter dash, eight men start the race. Only the top three get a medal. How many different combinations of 1-2-3 can there be in this race?
Combination • If the positioning of the individuals, does not matter you will use a combination
The United Nations Security Council has 15 members. If a subcommittee was being created of 7 of these members, how many different committees are possible?
iRAT • Eddie has 12 different songs on his Walkman. If he wants to select 8 of them to put on his 8-track, how many different groups can be created? • Eddie now wants to know how many different playlists of the 12 songs can be made to be put on his 8-track.
Homework • Word Problems