(7) How many two-person committees can be formed from a group of six people? (a) 11 (b) 12 (c) 13 (d) 14 (e) 15

Q: In how many ways can a party of 5 persons arrange themselves in a row of 5 chairs?

A:

Q: A machine puts out 16 imperfect articles in a sample of 500. After the machine is over-hauled, it…

A:

Q: 2. From a box containing 4 defective and 5 non-defective items, how many samples of size 3 are…

A:

Q: 19. A car insurance company claims that 92% of its customers are happy with their service. You…

A: Note: Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: 12 In how many ways can a committee of 8 members be selected from a class of 15 students?

A:

Q: 3) In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

A: Given,             A group of 5 men and 2 women be made out of a total of 7 men and 3 ways.

Q: A supermarket compiled the following information regarding 30 of its employees. 8 worked in the…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 7) Suppose that a class of 20 students is assigned to write an essay. Suppose 4 essays are picked at…

A: Total number of students in class = 20 Number of essays to be picked at random = 4

Q: Twenty people are on a committee, ten women and ten men. Suppose a four-person subcommittee is…

A: From the provided information, Total people = 20 10 men and 10 women.

Q: In how many ways can a party of 7 persons arrange themselves in a row of 7 chairs?

A:

Q: Consider a Little League team that has 15 players on its roster. (a) How many ways are there to…

A:

Q: 1. In how many ways can a committee of three be formed from a group of 10 members?

A: 1. Answer: In 120 ways can a committee of three be formed from a group of 10 members.

Q: A food company is testing 4 chocolate chip​ cookies, 5 ​crackers, and 6 ​reduced-fat cookies. If…

A: Given : chocolate chip​ cookies : 4 crackers: 5 reduced-fat cookies: 6

Q: ara's softball team can be divided into four groups:  1/2 of the players are strong hitters, 1/4 are…

A:

Q: a. In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always…

A: here use counting principle

Q: 1. A manufacturing firm wants to investigate the effects of 5 color additives on the setting time of…

A: Describe the model for the given design: The data represents the times for 5 days and 5 works for 5…

Q: 1. The class Council is selling T-shirts that come in 3 colors ( yellow, blue, white) and 4 sizes…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: 9. There is a file of 30 soft drink cans in the first bottom row, 29 on the second row, and so on.…

A: Formula:  Sum of first n natural numbers is  1+2+3+....+n= n(n+1)/2. Here total number of cans is  =…

Q: Example 44. A committee of 3 experts is to be selected out of a panel of 7 persons; three of them…

A:

Q: How many ways are there to win first, second, and third places in a rally with 14 cars, provided…

A: The number of cars in the rally is 14. The first place can be chosen in 14 ways. Since one car has…

Q: 7. In how many ways can a committee of three be formed from a group of 10 members?

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: (1). How many different words (including nonsense words) can you make by rearranging the letters of…

A: 1) The given word is “EFFERVESCENCE”. The total number of letters is 13. There are 2 C’s, 5 E’s,…

Q: What is the main difference between a situation in which the use of the permutations rule is…

A: The major and main difference in the use of permutation rule and the combination rule is ordering.…

Q: 4. The janitor wants to prevent insect invasion in a building with 15 floors. Since insect killing…

A:

Q: The New York Choral Society divides male singers up into four categories from highest voices to…

A: State the hypotheses. That is, there is no evidence that the variance of the heights of singers in…

Q: We want to form two groups of 7 out of 14 students. In how many different ways can this be done?

A:

Q: How many ways are there to arrange the letters m, n, o, p, and q such that neither m nor n is…

A: There are 5 letters in m, n, o, p, and q. We can arrange them in 5!= 120 ways   If m is followed…

Q: 7(a) A teacher selects 8 students from her class of 20 to work together on a project. How many ways…

A: Hi, since you have asked multiple questions, we will solve the first question for you. If want any…

Q: 39. How many groups can be formed from  8 students taking at least 2 at a time?

A:

Q: 1. How many ways are there to choose a dozen donuts from 18 varieties: a) if there are no…

A:

Q: It was reported in 2007 that there were 7,546,000 people age 16 or older who had a​ "go outside…

A: It is an important part of statistics. It is widely used.

Q: A2. a. A company decided to distribute 5 identical computers among its employees. In how many…

A: The number of identical computers is 5. The number of distinct people is 3. Since, each employee…

Q: How many different arrangements are there for placing identical coins into three different piggy…

A:

Q: A committee of size 5 is to be chosen from a group of 6 men and 7 women. (a) How many different…

A: Given that 6 men and 7 women. Total people = 6 + 7 = 13

Q: 10. A committee of gize 6 is being formed from a group of 10 Republicans, 8 Democrats and 4…

A: Given,no.of Republicans=10no.of Democrats=8no.of independents=4total no.of peoples=22

Q: How many groups can be formed from 8 studenta taking at least 2 at a time?

A: nCr=n!(n-r)! r !No of ways of selecting r from nis nCr

Q: Example 53. In an examination a candidate is required to answer 6 out of 10 questions which are…

A:

Q: 6. How many ways are there to select 3 candidates from 8 equally qualified recent graduates for…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A club has 13 women and 7 men. They decided that at leats two women should represent them on the…

A:

Q: 1. In how many ways can the position of president and secretary of an organization be  filled if…

A: HERE AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS  here use counting Principle  there are total 4…

Q: A firm is considering expanding into 5 of 14 possible cities. How many different groups of 5 cities…

A: The combination formula is nCx = n! /(n-x)! x!

Q: Consider a Little League team that has 15 players on its roster. Suppose 6 of the 15 players are…

A: Given information: The total number of players in the team is N = 15. The number of left-handed…

Q: In how many ways can a group of eight persons arrange themselves around the circular table?

A:

Q: How many distinct permutations can be made from the word “DYNAMICS”? 5. How many outcomes are…

A: Given the questions

Q: 2) A class has 25 students. Each day, three students are chosen to present their work at the board.…

A:

Q: How many ways can we select a committee of size 4 members from among 9 candidates?

A: we use the formula nCr = n! / (n-r)! * r!

Q: It is harder to get into graduate programs in psychology or history? We randomly selected five…

A: Solution: We are given the data of the minimum GPA for applicants to the psychology doctoral…

Q: a) None is left-hander b) Exactly one is left-hander c) Among 100 groups of ten girls, how many…

A: Here use binomial distribution because  Each trial is independent  Finite number of trial  There…

Q: 1) The rabies vaccine for dogs can save your dog's life. If your dog bites another animal or is on…

A: Solution: Given information: p= 0.95  Population proportion   The hypothesis can be classified into…

Q: 2. You were tasked to take charge of the auditions for the female parts of a stage play. In how many…

A:

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.