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Lesson 2 Menu

Five-Minute Check (over Lesson 8-1) Main Idea and Vocabulary Targeted TEKS Example 1: Find a Permutation Example 2: Use Permutation Notation Example 3: Use Permutation Notation Example 4: Find Probability. Lesson 2 Menu. Find the number of permutations of objects. permutation.

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Lesson 2 Menu

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  1. Five-Minute Check (over Lesson 8-1) Main Idea and Vocabulary Targeted TEKS Example 1: Find a Permutation Example 2: Use Permutation Notation Example 3: Use Permutation Notation Example 4: Find Probability Lesson 2 Menu

  2. Find the number of permutations of objects. • permutation Lesson 2 MI/Vocab

  3. number of possible players for first base number of possible players for second base number of possible players for third base total number of possible ways x x = 10 x x 8 = 720 9 Find a Permutation SOFTBALL There are 10 players on a softball team. In how many ways can the manager choose three players for first, second, and third base? Answer: There are 720 different ways the manager can pick players for first, second, and third base. Lesson 2 Ex1

  4. STUDENT COUNCILThere are 15 students on student council. In how many ways can Mrs. Sommers choose three students for president, vice president, and secretary? • A • B • C • D A. 2,415 B. 2,730 C. 3,150 D. 3,375 Lesson 2 CYP1

  5. Use Permutation Notation Find the value of P(7, 2). P(7, 2) = 7 ● 6 or 42 7 things taken 2 at a time Answer: 42 Lesson 2 Ex2

  6. Find the value of P(8, 4). • A • B • C • D A. 1,100 B. 1,375 C. 1,420 D. 1,680 Lesson 2 CYP2

  7. Use Permutation Notation Find the value of P(13, 7). P(13, 7) = 13 ● 12 ● 11 ● 10 ● 9 ● 8 ● 7 13 things taken 7 at a time = 8,648,640 Answer: 8,648,640 Lesson 2 Ex3

  8. Find the value of P(12, 5). • A • B • C • D A. 72,110 B. 84,800 C. 93,120 D. 95,040 Lesson 2 CYP3

  9. Find Probability NUMBERS Consider all of the five-digit numbers that can be formed using the digits 1, 2, 3, 4, and 5 where no digit is used twice. Find the probability, expressed as a percent, that one of these numbers picked at random is an even number. You are considering all permutations of 5 digits taken 5 at a time. You wish to find the probability that one of these numbers picked at random is even. Solve the Test ItemFind the number of possible five-digit numbers. P(5, 5) = 5! Lesson 2 Ex4

  10. number of ways to pick the last digit number of ways to pick the first four digits number of permutations that are even x = Find Probability For a number to be even, the ones digit must be 2 or 4. 2 x P(4, 4) = 2P(4, 4) or 2 x 4 x 3 x 2 x 1 Lesson 2 Ex4

  11. Find Probability Substitute. Divide out common factors. Simplify. Answer: 40% Lesson 2 Ex4

  12. NUMBERS Consider all of the five-digit numbers that can be formed using the digits 1, 2, 3, 4, and 5 where no digit is used twice. Find the probability that one of these numbers picked at random is an odd number. • A • B • C • D A. 30% B. 40% C. 50% D. 60% Lesson 2 CYP4

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