8-2:Permutations and Combinations English Casbarro Unit 8.

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Presentation transcript:

8-2:Permutations and Combinations English Casbarro Unit 8

A permutation is all possible arrangements of people or things where order is important. A linear permutation is the arrangement of people or objects in a line.

Permutations with repetition Ex. In how many ways can you arrange the letters in geometry?

For our first example, we had the following problem. Suppose it had said instead: “Ten students are in a race. The top three will move on to the finals”. Does it matter now which is first, which is second, or which is third? In this situation, you use a combination.

Ten students are in a race. The top three will move on to the finals. How many ways can this happen? Order is not important here– so you would use combinations. It is written 10 C 3.

Deciding whether order is important

and arrange the four drawings from left to right on the wall?