Permutations When deciding who goes first and who goes second, order matters. An arrangement or...

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Permutations When deciding who goes first and who goes second, order matters. An arrangement or listing in which order is important is called a permutation.

Transcript of Permutations When deciding who goes first and who goes second, order matters. An arrangement or...

Page 1: Permutations When deciding who goes first and who goes second, order matters. An arrangement or listing in which order is important is called a permutation.

Permutations

When deciding who goes first and who goes second, order matters. An arrangement or listing in which order is important is called a permutation.

Page 2: Permutations When deciding who goes first and who goes second, order matters. An arrangement or listing in which order is important is called a permutation.

An ice cream shop has 31 flavors. Carlos wants to buy a three-scoop cone with three different flavors. How many cones could he buy if the order of the flavors is important?

Page 3: Permutations When deciding who goes first and who goes second, order matters. An arrangement or listing in which order is important is called a permutation.

In a race with 7 runners, how many ways can the runners end up in first, second and third place?

Page 4: Permutations When deciding who goes first and who goes second, order matters. An arrangement or listing in which order is important is called a permutation.

The symbol P(31, 3) represents the number of permutations of 31 things taken 3 at a time.

P(31, 3) = 31 · 30 · 29

Page 5: Permutations When deciding who goes first and who goes second, order matters. An arrangement or listing in which order is important is called a permutation.

Find the value.

P (8, 3)

Page 6: Permutations When deciding who goes first and who goes second, order matters. An arrangement or listing in which order is important is called a permutation.

Find the value.

P (6, 6)

Page 7: Permutations When deciding who goes first and who goes second, order matters. An arrangement or listing in which order is important is called a permutation.

Out of ten songs on a CD, 3 different songs are randomly selected to play without repeating a song. What is the probability that the first three songs on the CD are selected?