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Algebra 2

Algebra 2. Essential 10. Permutations. Solve The first-, second-, and third- place finishers in a race with 10 contestants P 3 10! (10-3)! 10  9  8  7  6  5  4  3  2  1 7  6  5  4  3  2  1 720. When to use a permutation?.

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Algebra 2

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  1. Algebra 2 Essential 10

  2. Permutations • Solve • The first-, second-, and third- place finishers in a race with 10 contestants • P • 3 • 10! • (10-3)! • 10 9 8 7 6 5 4 3 2 1 • 7 6 5 4 3 2 1 • 720 When to use a permutation?

  3. Combinations Solve Selecting 2 of 9 kittens at an animal rescue shelter C 9 2 9! 2!(9-2)! 9 •8 •7 •6 •5 •4 •3 •2• 1 2• 1 •7 •6• 5• 4• 3 •2• 1 36 When to use a combination

  4. Fundamental Counting Principle What is FCP? How? Multiply all the possible outcomes Example :A sandwich comes with a choice of soda or tea and a side of chips or fries cold slaw or salad. 2 beverages • 4 sideorders = 8 choices

  5. Real World Probability A jar contains 8 blue marbles, 3 red marbles, 4 green marbles, and 9 yellow marbles. What is the probability of each color. Someone pulled out a blue marble and kept it. Another person reached in. What is the probability that they pull out a blue marble as well? What is the probability that it is yellow instead? P(b)= /24 P(r)= /24 P(g)= 4/24 P(y)= 9/24 B. B 8/24 R 3/24 G 4/24 Y 9/24

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