permutations and combinations 15.3.notebook
TRANSCRIPT
Permutations and Combinations 15.3.notebook
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Warm-Up:
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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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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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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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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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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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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?