College Algebra 1st Edition
ISBN: 9781938168383
Author: Jay Abramson
Publisher: Jay Abramson
1 Prerequisites 2 Equations And Inequalities 3 Functions 4 Linear Functions 5 Polynomial And Rational Functions 6 Exponential And Logarithmic Functions 7 Systems Of Equations And Inequalities 8 Analytic Geometry 9 Sequences, Probability And Counting Theory Chapter9: Sequences, Probability And Counting Theory
9.1 Sequences And Their Notations 9.2 Arithmetic Sequences 9.3 Geometric Sequences 9.4 Series And Their Notations 9.5 Counting Principles 9.6 Binomial Theorem 9.7 Probability Chapter Questions Section9.5: Counting Principles
Problem 1TI: A student is shopping for a new computer. He is deciding among 3 desktop computers and 4 laptop... Problem 2TI: A restaurant offers a breakfast special that includes a breakfast sandwich, a side dish, and a... Problem 3TI: A family of five is having portraits taken. Use the Multiplication Principle to find how many ways... Problem 4TI: A family of five is having portraits taken. Use the Multiplication Principle to find how many ways... Problem 5TI: A family of five is having portraits taken. Use the Multiplication Principle to find how many ways... Problem 6TI: A play has a cast of 7 actors preparing to make their curtain call. Use the permutation formula to... Problem 7TI: A play has a cast of 7 actors preparing to make their curtain call. Use the permutation formula to... Problem 8TI: An ice cream shop offers 10 flavors of ice cream. How many ways are there to choose 3 flavors for a... Problem 9TI: A sundae bar at a wedding has 6 toppings to choose from. Any number of toppings can be chosen. How... Problem 10TI: Find the number of rearrangements of the letters in the wordCARRIER. Problem 1SE: For the following exercises, assume that there are n ways an event A can happen, m ways an event B... Problem 2SE: For the following exercises, assume that there are n ways an event A can happen, m ways an event B... Problem 3SE: Answer the following questions. 3. When given two separate events, how do we know whether to apply... Problem 4SE: Answer the following questions. 4. Describe how the permutation of ii objects differs from the... Problem 5SE: Answer the following questions. 5. What is the term for the arrangement that selects r objects from... Problem 6SE: For the following exercises, determine whether to use the Addition Principle or the Multiplication... Problem 7SE: For the following exercises, determine whether to use the Addition Principle or the Multiplication... Problem 8SE: For the following exercises, determine whether to use the Addition Principle or the Multiplication... Problem 9SE: For the following exercises, determine whether to use the Addition Principle or the Multiplication... Problem 10SE: For the following exercises, determine whether to use the Addition Principle or the Multiplication... Problem 11SE: For the following exercises, determine whether to use the Addition Principle or the Multiplication... Problem 12SE: For the following exercises, determine whether to use the Addition Principle or the Multiplication... Problem 13SE: For the following exercises, determine whether to use the Addition Principle or the Multiplication... Problem 14SE: For the following exercises, determine whether to use the Addition Principle or the Multiplication... Problem 15SE: For the following exercises, compute the value of the expression. 15. P(5,2) Problem 16SE: For the following exercises, compute the value of the expression. 16. P(8,4) Problem 17SE: For the following exercises, compute the value of the expression. 17. P(3,3) Problem 18SE: For the following exercises, compute the value of the expression. 18. P(9,6) Problem 19SE: For the following exercises, compute the value of the expression. 19. P(11,5) Problem 20SE: For the following exercises, compute the value of the expression. 20. C(8,5) Problem 21SE: For the following exercises, compute the value of the expression. 21. C(12,4) Problem 22SE: For the following exercises, compute the value of the expression. 22. C(26,3) Problem 23SE: For the following exercises, compute the value of the expression. 23. C(7,6) Problem 24SE: For the following exercises, compute the value of the expression. 24. C(10,3) Problem 25SE: For the following exercises, find the number of subsets in each given set. 25.... Problem 26SE: For the following exercises, find the number of subsets in each given set. 26. {a,b,c,...,z} Problem 27SE: For the following exercises, find the number of subsets in each given set. 27. A set containing 5... Problem 28SE: For the following exercises, find the number of subsets in each given set. 28. The set of even... Problem 29SE: For the following exercises, find the number of subsets in each given set. 29. The set of two-digit... Problem 30SE: For the following exercises, find the distinct number of arrangements. 30. The letters in the word... Problem 31SE: For the following exercises, find the distinct number of arrangements. 31. The letters in the word... Problem 32SE: For the following exercises, find the distinct number of arrangements. 32. The letters in the word... Problem 33SE: For the following exercises, find the distinct number of arrangements. 33. The symbols in the string... Problem 34SE: For the following exercises, find the distinct number of arrangements. 34. The symbols in the string... Problem 35SE: The set, S consists of 900,000000 whole numbers, each being the same number of digits long. How many... Problem 36SE: The number of 5-element subsets from a set containing n elements is equal to the number of 6-element... Problem 37SE: Can C(n,r) ever equal P(n,r)? Explain. Problem 38SE: Suppose a set A has 2,048 subsets. How many distinct objects are contained in A? Problem 39SE: How many arrangements can be made from the letters of the word “mountains” if all the vowels must... Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in... Problem 41SE: A cell phone company offers 6 different voice packages and 8 different data packages. Of those, 3... Problem 42SE: In horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in... Problem 43SE: A wholesale T-shirt company oilers sizes small, medium, large, and extra-large in organic or non-... Problem 44SE: Hector wants to place billboard advertisements throughout the county for his new business. How many... Problem 45SE: An art store has 4 brands of paint pens in 12 different colors and 3 types of ink. How many paint... Problem 46SE: How many ways can a committee of 3 freshmen and 4 juniors be formed from a group of 8 freshmen and... Problem 47SE: How many ways can a baseball coach arrange the order of 9 batters if there are 15 players on the... Problem 48SE: A conductor needs 5 cellists and 5 violinists to play at a diplomatic event. 10 do this, he ranks... Problem 49SE: A motorcycle shop has 10 choppers, 6 bobbers, and 5 café racers—different types of vintage... Problem 50SE: A skateboard shop stocks 10 types of board decks, 3 types of trucks, and 4 types of wheels. How many... Problem 51SE: Just-For-Kicks Sneaker Company offers an online customizing service. How many ways are there to... Problem 52SE: A car wash offers the following optional services to the basic wash: clear coat wax, triple foam... Problem 53SE: Susan bought 20 plants to arrange along the border of her garden. How many distinct arrangements can... Problem 54SE: How many unique ways can a string of Christmas lights be arranged from 9 red, 10 green, 6 white, and... Problem 41SE: A cell phone company offers 6 different voice packages and 8 different data packages. Of those, 3...
Related questions
Find the area of triangle shown in the figure.
Transcribed Image Text: y
4
C
A
B
-2
2 4
-24
2)
Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
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