B Activity B: Arrange Me! Directions: Use permutation to answer the following questions. Five bikers join a race. In how many possible ways can they be arranged as first, second and third placers? 1. How many positions to be filled? 2. How many choices will be used for the first position? Second position? 3. How will you represent the number of choices in the activity? 4. What operation will be used to find the possible ways? 5. How many possible outcomes for the top 3 in the race?
B Activity B: Arrange Me! Directions: Use permutation to answer the following questions. Five bikers join a race. In how many possible ways can they be arranged as first, second and third placers? 1. How many positions to be filled? 2. How many choices will be used for the first position? Second position? 3. How will you represent the number of choices in the activity? 4. What operation will be used to find the possible ways? 5. How many possible outcomes for the top 3 in the race?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section: Chapter Questions
Problem 3PTTS
Related questions
Concept explainers
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Question
Practice Pack
Transcribed Image Text:EB Activity B:
Arrange Me!
Directions:
Use permutation to answer the following questions.
Five bikers join a race. In how many possible ways can they be arranged as
first, second and third placers?
1. How many positions to be filled?
2. How many choices will be used for the first position? Second position?
3. How will you represent the number of choices in the activity?
4. What operation will be used to find the possible ways?
5. How many possible outcomes for the top 3 in the race?
ET
Activity C:
Level Up!
Directions:
Read and analyze the given situation. Then answer the questions below.
A teacher drew a number line on the board and named some points on it.
The teacher then asked the class to list all the rays in the figure. A student
answered 30 rays in all and the teacher said it was correct. How many points were
named in the figure.
1. Can you name a ray using 3 points?
2. How many points are needed to form a ray?
3. What is the value of r in the permutation of n taken r in the given
situation?
4. What mathematics concept will be used to determine the number of rays
in P(n, r) if the value of n is already identified?
5. How many points (n) were named in the figure?
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