permutations and combinations 15.3.notebook

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Permutations and Combinations 15.3.notebook 1 March 03, 2014 Warm-Up: 1. 2. In how many ways can 4 people be seated in a row of 12 chairs? In how many ways can you answer 10 true or false questions?

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Page 1: Permutations and Combinations 15.3.notebook

Permutations and Combinations 15.3.notebook

1

March 03, 2014

Warm-Up:

1.

2.

In how many ways can 4 people be seated in a row of 12 chairs?

In how many ways can you answer 10 true or false questions?

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permutations and 

combinationsCh.15      Lesson 3

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Target

Agenda

Purpose

Evaluation

Agenda

Purpose

Evaluation

TSWBAT: know when to use permutations and combinations

Warm-Up/Homework Check

Lesson

BAT: solve all types of probability and do well on the ACT

3-2-1

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PermutationThe number of ways to choose something when Order matters

P(n,r) = nPr =  n!/(n­r)!

ex. 12P3

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Permutations and Combinations 15.3.notebook

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CombinationThe number of ways to choose something when Order Doesn't matter

C(n,r) = nCr =  n!/r!(n­r)!

ex. 12C3

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Permutations and Combinations 15.3.notebook

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Examples where you need to figure out which one to use.

ex.1  There are two different openings and 10 different applicants

ex.2  There are two same openings and 10 applicants

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ex.3  There are 52 cards, 4 suits and 13 cards in each suit.

How many ways are there to deal 13 cards

order matters order doesn't matter

Examples where you need to figure out which one to use.

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March 03, 2014

A raffle sold 845 tickets. How many ways can four $50 gifts be awarded?

How many ways can $100, $50, $20, $10 gifts be awarded?

Examples where you need to figure out which one to use.

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Permutations and Combinations 15.3.notebook

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You order an omelet, and the restauant has filling choices of tomatoes, cheese, ham, spinach.  If you could have up to four fillings, how many different combinations could you make?

Examples where you need to figure out which one to use.

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Permutations and Combinations 15.3.notebook

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Last Example!

You have four different colors of socks, two of each kind.  How many ways can you wear your socks over 8 days, if you wear the same color  two days in a row.

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Summarizing

TIME!

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Evaluation:1.

Practice! pg.580 #1­12,19­21

In how many ways can a club with 10 members choose a president, a vice president, and a treasurer?