19 An Engineers Association consists of 5 civil engineers and 5 mechanical engineers. (a) In how many ways can a committee of 3 civil en- gineers and 2 mechanical engineers be appointed? (b) If 2 civil engineers disagree with each other and refuse to be on the same committee together, how many different ways can a committee of 3 civil engineers and 2 mechanical engineers be formed?

Q: In a factory there are (7) engineers and (5) accountants. A committee of (3) engineers and (2)…

A: Given Information: There are 7 Engineers and 5 Accountants in a factory. The Committee should have 3…

Q: There are 5 third year and 4 fourth year ECE students qualified to join a contest. In the group…

A: The number of ways to select r number of different objects from n number of different objects can be…

Q: A six-member scientific committee is to be chosen from amongst 7 virologists, 5 epidemiologists, 4…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: From a group of 9 men and 11 women, a committee consisting of 2 men and 2 women is to be formed. How…

A: Men=9Women=11Choose for a committee 2 men and 2 women

Q: - From a group of 5 women and 7 men, how many different committees consisting of vomen and 3 men can…

A:

Q: How many ways are there to choose a committee of 4 members, 2 men and 2 women, from 5 fraternal…

A:

Q: Suppose the group of twelve consists of five men and seven women, and five-personteam is to be…

A: Number of men: Number of women: Note: According to the guidelines we are allowed to solve three…

Q: In a police departmets there are 7 policemen. If there are 7 districts that should be on patrol, how…

A: Given that total policemen, n= 7 And districts, r= 7

Q: . How many ways are there to choose the members on the education group?

A: Given:  5 Republicans  4 democrats  3 members is to be formed with atleast 1 Republican.

Q: A committee of 5 members has to be formed from 8 boys and 12 girls. Find the number of ways to form…

A:

Q: women and 8 men are on the faculty in the mathematics department at a school. a) How many ways are…

A:

Q: The local elementary school PTA is forming a 5 member committee to organize the campus…

A:

Q: 1) A question paper consists of 12 questions divided into two parts A and B, containing 5 and 7…

A: We need to use the concept of probability to solve given questions

Q: 5. Jar A contains 4 red marbles and 6 blue marbles. Jar B contains 8 red marbles and 2 blue marbles.…

A: Since you have uploaded multiple part questions, according to our guidelines we have solved first…

Q: A baseball manager has 12 players on his team but only nine players can play on the field at one…

A: Given that the baseball manager has 12 players on his team but only nine players can play on the…

Q: 5. How many arrangements can be made from 4 boys and 4 girls if they have to sit in a roundtable and…

A: We have given that  Number of boys=4 Number of girls=4

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 small university has 5 academic departments. A committee of 3professors is going to be formed,…

A: Given that a small university has 5 academic departments namely, Art department, History, Dance,…

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: There are 7 boys and 3 girls in a class. The classroom teacher will form a 2-member cleaning…

A: There are  7 Boys : 7 B 3 Girls : 3 G   The classroom teacher will form a 2-member cleaning…

Q: 2. Babui has 5 roses of each of the colors red, yellow, blue, and black (total 20 roses). In how…

A: Introduction: A combination may be a mathematical technique for crucial the quantity of potential…

Q: How many formations of committee from 10 persons are possible if the committee consists of one…

A: In this question, the concept of Permutation and Combination is applied. Permutation  Permutations…

Q: .There are four couples want to have their dinner in a round table . In how many ways can they…

A: From the given information, there are four couples want to have their dinner in a round table. Note:…

Q: (a) How many committees can be formed? (b) How many committees can be formed with at least 2 men?…

A: here total 8 men and 7 women that is 15 employees in office committee of 4 member has to be formed…

Q: A 4-person grievance committee is to be selected out of 2 departments, A and B, with 11 and 21…

A:

Q: How many ways can a baseball line up of 9 players be arrange to hit if the pitcher must bat last,…

A: We have 4 contact hitters and 2 power hitters and 1 pitcher and 2 other players. Who must be…

Q: 7. (a) How many committees consisting of 4 people can be chosen from 9 people? (b) Redo part (a) if…

A: (a) 126 (b) 70 For detail...go through the solution......I have solved step by step in detail

Q: the chairperson who must select a subcommittee but assume that the committee consists of 11 people…

A: There are total 11 people including the chairperson. 1 chairperson is to be selected at first. The…

Q: 8. How many ways are there for four men and seven women to stand in a line so that (a) All men stand…

A:

Q: 4. How many separate committees made up of 2 women and 3 men may be formed from a group of 5 men and…

A:

Q: How many 4-person committiees can be formed from a group of 8 teachers and 5 students if there must…

A: If there is 1 teacher, then there must be (4-1)=3 students.  We can pick 1 teacher from 8 teachers…