In how many ways can president, vice-president, and secretary be chosen from a group of 20 people, if Sarah, one of the 20 people, does not want to be president, but is willing to hold either of the other positions?

Q: Both of my friends Abu and Deps will be part of the group? Only one of them will be part of the…

A: Here use combination for given problems

Q: From a total of six men and four ladies a committee of three is to be formed. If Mrs. X is not…

A: Solution

Q: In how many ways can a committee of four Democrats and four Republicans be formed from a group of…

A: In the problem given data is  No.of Democrates=10  No.of Republicans=6  No.of ways choosing 4…

Q: A survey of 80 people finds: 42 like Metallica. 27 like Queen. 5 like Nickelback. 15 like both…

A:

Q: How many ways are there to choose 20 co-op candidates out of 30 students to send to work at the same…

A: For the solution follow the next step.

Q: uppose there are 6 freshman, 10 sophomores, 12 juniors, and 14 seniors running for the offices of…

A: Given data, Number of freshman=6 Number of sophomores=10 Number of juniors=12 Number of seniors=14…

Q: A student council consists of 15 students. (a) In how many ways can a committee of seven be selected…

A: Combination Rule: There are n different items and r number of selections and the selections are made…

Q: King Arthur has 8 members of the round table sat for today’s meeting. How many arrangements of where…

A: Here given that King Arthur has 8 members of the round table sat for today’s meeting.Then, the king…

Q: In how many ways can a committee of four Democrats and five Republicans be formed from a group of…

A: The objective of this question is to find out the number of ways a committee can be formed from a…

Q: A certain board of directors has 11 members. They wish to elect four officers: a chair, a…

A: Details included in step 2. This involves the basic principle of multiplication.

Q: In how many ways can a committee of three men and three women be formed from a group of eleven men…

A: The provided information is as follows:The total number of men is 11.The total number of women is…

Q: A box contains two black balls, labeled 1 and 2, and five white balls, labeled 3, 4, 5, 6, and 7.…

A: One person to get the both balls by 2 different ways

Q: Assuming that no one can hold more than one office, how many selections are possible?

A: select a president, vice-president, secretary, and treasurer out of a club with 15 members.  Here…

Q: A board of directors consisting of eight members is to be chosen from a pool of 30 candidates. The…

A: We have  Total number of candidates are 30. There should be 8 members in a board of director. Option…

Q: 5. There are 10 applicants applying for three positions: hostess, server and busser. How many ways…

A: Note- As per our policy we can answer only 1st question. If you want solutions for other, then you…

Q: A student representative group is composed of Adam, Beth, Cathy, David, Erica, Fritz, and Gideon.…

A:

Q: There are three openings in an accounting firm: one opening is in personal accounts, another is in…

A: Given that here,  Total number of candidates, n= 12  available jobs, x=3

Q: In a survey of 270 college students, it is found that 64 like brussels sprouts, 94 like broccoli, 58…

A: It is given thatTotal college students, n(S)=270A: like Brussels sprouts, n(A)=64B: like broccoli,…

Q: to find the number of different ways that five of these could be hired

A: 4 accounting majors, 2  economics majors, and 3 marketing majors have interviewed for five different…

Q: 3. Three men and three women were nominated for THREE positions on the school board. Suppose the…

A: The three men are named A, B, and C.The three women are named D, E, and F.Given exactly one man and…

Q: A carton of 12 rechargeable batteries contain one that is defective. In how many ways can the…

A: Given,no.of defective batteries=1no.of non defective batteries=11Total no.of batteries=12

Q: A club of 136 members is in the process of choosing a president, a vice presider secretary, and a…

A:

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

A:

Q: 1. The manager of the Yankees has to choose 28 players for an upcoming game agai the Phillies. On…

A: a) Here he selects as a group, so the arrangement is not required. So we will use the combination…

Q: Consider three different classes at a small college; a mathematics class with 32 students, an…

A: Given that n(A)= 32,n(A) =30,n(f) =26, n(MF) =13,n(AM)=11,n(AF) =16,n(AMF) =6.

Q: In how many ways can a committee of two men and three women be formed from a group of eight men and…

A:

Q: 1. In a survey of university students 64 had taken mathematics course

A: Given, in a survey of university students 64 had taken mathematics courses, 94 had taken…

Q: A group of 150 tourists planned to visit East Africa. Among them, 3 fall ill and did not come, of…

A: Consider the provided question, First draw the Venn diagram according to the given question, Let K…

Q: At their annual picnic, 18 students in the math & science departments at a local university decide…

A:

Q: probability that the first chocolate is a Krackel and the second is a Special Dark?

A: Here 2 candy drawn with replacement

Q: 1. There are 5 teenagers and 8 adults available for a 5-p. teenager and one adult, how many possible…

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.