When testing for current in a cable with ten ​color-coded wires, the author used a meter to test two wires at a time. How many different tests are required for every possible pairing of five wires?

Q: In the 31st SEA Games volleyball match, how many ways can a coach choose 6 starters from a…

A: From given information, n is 15 and r is 6.

Q: Among 10 students , 4 of them will be selected for a project .in how many ways can they be selectes

A: In question, We have given that among 10 students , 4 of them will be selected for a project. The…

Q: On a recent survey, 60% of those surveyed indicated that they preferred walking to running. If 540…

A: We will use basic arithmetic to solve this question. Just some knowledge of percentages is required…

Q: How many 4-letter “words” without repeated letters are possible using the English alphabet? (Assume…

A: Given that repetitions are not allowed. The first letter can be selected in 26 ways.  The second…

Q: How many different tests were required for every possible pairing of five wires?

A:

Q: A survey of 202 persons was conducted at TCC, and it was found that 83 persons carried a cell phone,…

A: It is given that, A survey was conducted over 202 people out of which No. of person who carried a…

Q: Suppose 84% of students chose to study Spanish their junior year, and that meant that there were 378…

A: Then,

Q: If a phone company sends a random 6-digit number to customers to activate their phone, how many…

A: Consider a problem in which there are n vacant inline spots, each spot is to be filled by any of the…

Q: A focus group of 3 students from this class is going to be randomly chosen. In how many ways can the…

A: Students to be chosen = 3 Total number of students in the class  = (6+4+3+1+1+5+8+3+1+1) = 33

Q: n a survey of 42 people, 16 liked country music, five people liked country and rap, 17 people liked…

A: Given that there are total 42 people, in which people who liked country music is 16, total number of…

Q: When testing for a current in a cable with 12 color coded wires, the author used a meter to test 4…

A:

Q: A ship carries 4 signal flags of different colors. How many different signals hoisting these flags…

A:

Q: When testing for current in a cable with seven color-coded wvires, the author used a meter to test…

A: Determine the number of test required for every possible pairing of three wires. The number of test…

Q: When testing for current in a cable with ten ​color-coded wires, the author used a meter to test…

A: Combination: According to the combination rule, if r distinct items are to be chosen from n items…

Q: How many different signals can be made by hoisting three yellow flags, three green flags, and four…

A: topic - permutations and combinations

Q: 1 of 40 ? What is

A:

Q: How many different signals can be made from 7 flags hung in a vertical line, using 2 identical white…

A: We have to find correct different signals can be made from 7 flags hung in a vertical line.... Here…

Q: If 15 people start a race, in how many different ways can the top 3 finishers be determined?

A: Permutation:   It  is an arrangement of objects in a definite order where the order is important.…

Q: In a survey of 400 students in a school, 100 were listed as taking applejuice, 150 as taking orange…

A:

Q: In a survey at a local university, 25% of students say that they get less than the recommended eight…

A: Given  Total students = 3900 Percentage of Students get less than the recommended eight hours of…

Q: From a group of seven people, two individuals are to be selected at random. How many selection are…

A: A group of seven people. Two individuals are to be selected at random.

Q: A combination lock uses 4 numbers, each of which can be 0 to 29. If there are no restríctions on the…

A:

Q: When testing for current in a cable with eight ​color-coded wires, the author used a meter to test…

A: From the given information, there are eight color-coded wires and author tested five wires at a…

Q: Find the number of different signals that can be made by arranging at least three flags in order on…

A: find the number of different signals that can be made by arranging at least three flags out of 6

Q: Three members of a jury will be randomly selected from five people. How many different combinations…

A:

Q: In a survey of 260 students, it is found that 78 like broccoli, 103 like cauliflower, and 56 like…

A: We will solve it by Venn diagram Let A be the set who like broccoli and B be the set who like…

Q: Six players are to be selected from an 11​-player baseball team to visit schools to support a summer…

A: No. Of total students = 11 No. Of player to select = 6.

Q: When testing for current in a cable with six color-coded wires, the author used a meter to test four…

A: According to the given information, Total number of color-coded wires n = 6 Number of wires needed…

Q: Consider a necklace that is made up of 8 different gems stone such that ruby is always between…

A: As per our guidelines we can answer only one question. please repost other seperately.    7.

Q: From a group of 20 nurses, 4 are to be selected to work a night shift. In how many ways can this be…

A:

Q: A State's License plates consist of 4 letters followed by 5 digits. How many possible license plates…

A: Given, a state's License  plate consist of 4 letters followed by 5 digits.

Q: A survey of 1000 subscribers to a certain news paper revealed that 900 people subscribe to the daily…

A:

Q: A sailboat owner received 5 different signal flags with his new sailboat. If the order in which the…

A: Given A sailboat owner received 5 different signal flags with his new sailboat.

Q: A survey of 2500 subscribers to a certain news paper revealed that 2250 people subscribe to the…

A: Given a survey of 2500 subscribers to a certain news paper revealed that 2250 people subscribe to…

Q: When testing for current in a cable with six color-coded wires, the author used a meter to test four…

A: Using the combination formula the required number of tests can be obtained as:

Q: When testing for current in a cable with seven color-coded wires, the author used a meter to test…

A: 7 colour coded wires Select 5 at a time

Q: At a liberal arts school, a survey of 100 students indicates that 68 enjoy their English class while…

A: Let,Number of students who enjoys English subject = n(E)Number of students who enjoys Mathematics…

Q: A survey is given to 95 members at the local gym and found that 56 members are taking Rock Climbing…

A: R = Rock Climbing Y = Yoga

Q: When testing for current in a cable with twelve color-coded wires, the author used a meter to test…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: How many different signals can be made by hoisting three yellow flags, two green flags, and two red…

A: Given yellow flags=3 green flags=2 red flags=2

Q: When testing for current in a cable with eleven color-coded wires, the author used a meter to test…

A: The combination formula is shown below. Here, n represents the total number of objects and r…

Q: Suppose that 5% of teachers at a university attended a conference. If 4000 teachers are enrolled at…

A: Number of teachers enrolled at the university = 4000 percentage of teachers who attended conference…

Q: From a group of 20 people, 12 are selected to serve on a jury during a trial. How many different…

A: The total number of combinations possible if we select r things which are chosen at a time  from n…

Q: How many elements are in the set {0, {0}}?

A:

Q: In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking…

A:

Q: If five daytime Fahrenheit temperatures recorded during an Antarctic summer are 29 degrees, 15…

A: Given, Five Fahrenheit temperatures are: -29°F-15°F-26°F-21°F-37°F

Q: Eight men and seven women are randomly assigned distinct numbers from 1 to 15. On an average, how…

A: Given: The distinct number given 1 to 15

Q: Three members of a committee will be randomly selected from five people. How many different…

A: We have to find number of different combinations possible.

Q: Tina must select and answer in any order five of ten essay questions on a test. In how many ways can…

A: Given - Tina must select and answer in any order five of ten essay questions on a test. To find - In…

Q: , 41 of every 100 registered voters in a certain city voted. If there were 112,300 registered voters…

A: The voters voted from 100 registered voters is 41. so, The voters voted from 112300 registered…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.