Choosing the first, second and third-place in a race with 10 competitors. Ten students have been elected to serve on students’ council. In how many ways can 4 of these students be chosen to represent the school as ambassadors at the provincial education conference? Checking out 4 library books from a list of 8 books for research paper. Seating 5 men and 5 women alternately in a row beginning with a man. B2. c. How many arrangements are there of the letters of the word CHEESECAKE under each condition? When repetition is allowed? When arrangement starts with A? When the four E’s are to be together?

Choosing the first, second and third-place in a race with 10 competitors. Ten students have been elected to serve on students’ council. In how many ways can 4 of these students be chosen to represent the school as ambassadors at the provincial education conference? Checking out 4 library books from a list of 8 books for research paper. Seating 5 men and 5 women alternately in a row beginning with a man. B2. c. How many arrangements are there of the letters of the word CHEESECAKE under each condition? When repetition is allowed? When arrangement starts with A? When the four E’s are to be together?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.6: Counting Principles

Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...

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Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is played in 44 states, Washington D.C., Puerto Rico, and the U.S. Virgin Islands. The game is played by drawing five white balls out of a drum of 69 white balls (numbered 1-69) and one red powerball out of a drum of 26 red balls (numbered 1-26). The jackpot is won by matching all five white balls in any order and the red powerball. (a) Find the possible number of winning Powerball numbers. (b) Find the possible number of winning Powerball numbers when you win the jackpot by matching all five white balls in order and the red powerball.
Draw a binary search tree using the keys provided in the set below.{14, 5, 17, 4, 6 , 16, 19, 1, 3, 12, 8}
The utility company in the city of Harperville serves 20,000 residential addresses. The company wants to gauge interest in a “Beat the Peak” program which offers consumers a discount in exchange for limited electricity usage during peak hours. Unknown to the utility company, 18% of its 20,000 residential customers would participate in such a program. Since the company does not know the level of interest among its customers, the company selects every 40th account from an alphabetical listing of residential account holders, starting with the 23rd name. Of the 500 subscribers selected, 16% express interest in the “Beat the Peak” program. Match the term on the left to its corresponding example from this scenario. population population size, N…
The utility company in the city of Harperville serves 20,000 residential addresses. The company wants to gauge interest in a “Beat the Peak” program which offers consumers a discount in exchange for limited electricity usage during peak hours. Unknown to the utility company, 18% of its 20,000 residential customers would participate in such a program. Since the company does not know the level of interest among its customers, the company selects every 40th account from an alphabetical listing of residential account holders, starting with the 23rd name. Of the 500 subscribers selected, 16% express interest in the “Beat the Peak” program. 1a) What type of sampling did the utility company employ? A. simple random sample B. systematic C. cluster D. stratified E. Voluntary response F. Convenience G. Judgement 2b) The utility company divides its service area into 5 zones. If the company had randomly selected 100 customers from each zone, which type of sampling would they have employed?…
The utility company in the city of Harperville serves 20,000 residential addresses. The company wants to gauge interest in a “Beat the Peak” program which offers consumers a discount in exchange for limited electricity usage during peak hours. Unknown to the utility company, 18% of its 20,000 residential customers would participate in such a program. Since the company does not know the level of interest among its customers, the company selects every 40th account from an alphabetical listing of residential account holders, starting with the 23rd name. Of the 500 subscribers selected, 16% express interest in the “Beat the Peak” program. The utility company notes that, in the sample, there were at least 4 customers not interested for every 1 customer that was interested. This statement reflects ["", "", "", "", ""] Based on the sample, the utility company concludes that over 10% of its 20,000 residential accounts are interested in the “Beat…
The utility company in the city of Harperville serves 20,000 residential addresses. The company wants to gauge interest in a “Beat the Peak” program which offers consumers a discount in exchange for limited electricity usage during peak hours. Unknown to the utility company, 18% of its 20,000 residential customers would participate in such a program. Since the company does not know the level of interest among its customers, the company selects every 40th account from an alphabetical listing of residential account holders, starting with the 23rd name. Of the 500 subscribers selected, 16% express interest in the “Beat the Peak” program. What type of sampling did the utility company employ? ["", "", "", "", "", "", ""] The utility company divides its service area into 5 zones. If the company had randomly selected 100 customers from each zone, which type of sampling would they have employed? ["", "", "", "", "", "",…
The utility company in the city of Harperville serves 20,000 residential addresses. The company wants to gauge interest in a “Beat the Peak” program which offers consumers a discount in exchange for limited electricity usage during peak hours. Unknown to the utility company, 18% of its 20,000 residential customers would participate in such a program. Since the company does not know the level of interest among its customers, the company selects every 40th account from an alphabetical listing of residential account holders, starting with the 23rd name. Of the 500 subscribers selected, 16% express interest in the “Beat the Peak” program. The company also gathered other information from the 500 sampled accounts: number of people living in household __________ ["", ""] , __________ ["", "", "", ""] most frequently watched cable channel __________ ["", ""] , __________…
An engineer developed a new algorithm that detects whether a vehicle is present in an image. To test her algorithm, she selected 1,00 0 photos from the library of 100,00 photos. Among the photos in the library, 50% contain a vehicle (50,000 photos). She ran the algorithm on each of the selected photos and tagged 460 photos containing a vehi 46%. a. what is the population? b what is the sample? c what is the variable of interest?ii
Determine if each is a permutation or a combination and then evaluate. 37. In how many ways can a member of a hiring committee select 3 of 12 job applicants for further consideration? 38. In how many ways can an investor select four mutual funds for his investment portfolio from a recommended list ofeight mutual funds? 45. In how many ways can a supermarket chain select 4 of 12 possible sites for the construction of a new supermarket?
Build a binary search tree for the words: hair, pies, chemical, keen, silver, drum, crib, huge, periodic, and clover using alphabetical order.
3. Which of the illustrates a permutation? A. Selecting a set of JS Prom committee consisting of 8 members from 20 people. B. Selecting a set of JS Prom committee consisting of a chairman, vice chairman, and promotion head from 20 people.
Suppose we are given the letters to the word ALGORITHM for which we’d like to study the number of permutations and combinations of various subsets of this set of letters. (1a) How many ways can three of the letters of the word ALGORITHM be selected and written in a row? (1b) How many ways can three of the letters of the word ALGORITHM be selected and written in a row but where we do wish to account for the order of 3 letters? That is, the selection ALG is considerd the same as GLA and the also the same as LGA, and thus, these 3 orderings should only be counted once. (1c) How many ways can six letters of the word ALGORITHM be selected and written in a row if the first letter must be an A? (1d) How many ways can six letters of the word ALGORITHM be selected and written in a row if the first letter must be an A?, but where order is not important?