1. 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

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

3. Lesson 2 Ex1 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. 10 9 8720xx= 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 xx=

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

5. Lesson 2 Ex2 Use Permutation Notation Find the value of P(7, 2). P(7, 2) = 7 ● 6 or 427 things taken 2 at a time Answer: 42

6. Lesson 2 CYP2 1.A 2.B 3.C 4.D A.1,100 B.1,375 C.1,420 D.1,680 Find the value of P(8, 4).

7. Lesson 2 Ex3 Use Permutation Notation Find the value of P(13, 7). P(13, 7) = 13 ● 12 ● 11 ● 10 ● 9 ● 8 ● 713 things taken 7 at a time = 8,648,640 Answer: 8,648,640

8. 1.A 2.B 3.C 4.D Lesson 2 CYP3 A.72,110 B.84,800 C.93,120 D.95,040 Find the value of P(12, 5).

9. Lesson 2 Ex4 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 Item Find the number of possible five-digit numbers. P(5, 5) = 5! Find Probability

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

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

12. A.A B.B C.C D.D Lesson 2 CYP4 A.30% B.40% C.50% D.60% 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.