9. The U.S. Senate has 100 members. At one time, 51 of which were democrat, 47 republican and 2 independents. There is a subcommittee on Banking Housing, and Urban Affairs that has 22 members from the Senate. How many waye can we: a. select the 22 members of this subcommittee b. select the 22 members of this subcommittee so that 11 are democrat, 10 are republican, and 1 is independent 2. c. select the 22 members so that there is at least one democrat d. After selecting the 22 members of the subcommittee, we would like to select a chairperson, vice-chairperson, and secretary. How many ways can we do this from the 22 members?

Q: guidance counselor is planning schedule for 30 students. Sixteen students say they want to take…

A: As per our guidelines,w e are allowed to answer first three sub-parts only. thanks Given : F = 16…

Q: Suppose you are taking a bus trip from your home in Florida to California. There are seven different…

A: Given that we are taking a bus trip from your home in Florida to California. There are seven…

Q: 3. Ten national leaders are to be seated at a round table at a summit. If the presidents of the US…

A:

Q: 1. If there are five types of batteries which are AAA, AA, C, D, and 9-volt and you want to put…

A:

Q: A faraway planet is populated by creatures called Mizjigs. All Mizjigs are either black-footed or…

A: Given: Black-footed one-headed mizjigs is 120. red-footed two-headed mizjigs are 200. Total…

Q: A survey of 145 computer science students reveals that 80 own desktop computers, 95 own laptops, 30…

A: Assume number of students who has  desktop = d number of students who has laptops= l number of…

Q: Suppose that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40…

A: Total number of candies = 310 Number of candies to be selected = 7

Q: 6). The staff at a small company includes: engineers, and 2 executives. If a person is will be a…

A:

Q: 12) From a committee of 1O, how many ways can we select a President, Vice President, and Secretary?…

A: From a committee of 10, how many ways can we select a president, vice president andand secretary.

Q: 4) A newly formed company of 24 partners wants to select a President, Vice-President and Secretary.…

A: This Problem can be solved by permutation and combination. Permutation is number of possible…

Q: 8. The Math Club has 20 members this year and needs to elect a president, a vice presi- dent, a…

A:

Q: ) without restrictions? b) if Aamir, must be on the left end and Zeba must be on the right end? c)…

A: Here as PER POLICY I HAVE CALCULATED FIRST 3 SUBPART

Q: In how many ways can a committee of five men and four women be formed from a group of six men and…

A: The number of ways can a committee of five men is 6C5.The number of ways can a committee of four…

Q: How many ways are there to select 7 countries in the United Nations to serve on a council, if 2 are…

A: Disclaimer: Since you have posted multiple questions, we will solve first question for you. If you…

Q: 1. There are 3 similar Mathematics books, 2 similar Science books, 4 similar Filipino books, and 3…

A: We are entitled to solve only 1 question at a time so I am providing the same. Kindly repost the…

Q: club with eighteen members is to choose three​ officers: ​ president, vice-president, and​…

A: Topic:- permutation and combinations

Q: ee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 6 freshmen, 7 sophomores,…

A: The selection of elements without arrangement can be represented by a combination of elements. We…

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

A:

Q: 5. Of a company's personnel, 7 works in design, 14 in manufacturing, 4 in testing, 5 in sales, 2 in…

A: (a) Obtain the number of different committees that can be formed as follows.

Q: 3) A board of directors composed of eight people must select board officers. In how many ways can a…

A: Given that n =8,r =3 using permutations

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: 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: Of the 73 students in a mathematics​ class, 31 are taking​ French, 30 are taking​ German, and 9 are…

A:

Q: Assuming the roles of president and secretary cannot be filled by the same person, how many ways are…

A: When Tyler is chosen as president, we have 3 choices for the post of secretary. So there are 3 such…

Q: 7. Given 10 different English books, six different French books, and four different German books,…

A: Given Data: n(English)=10 n(French)=6 n(German)=4 Total=20

Q: In a Board Examination for Certified Plant Mechanic, 119 examinees took the Shop Machinery subject,…

A: As per the given data , Venn Diagram is shown below

Q: In a town of 100 residents, 85 of the residents speak Tagalog, 40 speak Chavacano, and 20 speak…

A: As per our guidelines we are allowed to solve only first three subparts. kindly repost others. Given…

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Dear students as per guidelines we answer the first three subparts only.   Solution

Q: In how many ways can a committee of three men and four women be formed from a group of 10 men and 10…

A:

Q: How many people used two modes of transportation if 1978 took public transit, 1494 drove, 818…

A: Given Information: People who took public transit = 1978 People who drove = 1494  People who cycled…

Q: 9. A committee of senior and junior executives will be formed to decide on recruitment issues. If…

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

Q: In a group of 200 students, the following facts are known: 75 are taking French, 80 are taking…

A: The given information is shown in the Venn Diagram

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: In a manufacturing operation, a part is produced by machining, polishing, and painting. If there are…

A: As per guidelines expert gave to answer first question only

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

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

Q: Of the eighth graders at the Paxton​ School, 10 played​ basketball, 9 played​ volleyball, 10 played​…

A:

Q: In how many ways can a committee of three men and four women be formed from a group of 12 men and 12…

A: given: Number of men = 12 Number of women = 12 The number of ways of choosing "r" from "n" is…

Q: 4. Ms. Green must choose three students from her chess club to speak on the Rebel Report. If the…

A: Given that  Total member=8 She choose member=3

Q: Suppose that thirty-two students signed up for classes during an orientation session. If exactly…

A: Given Total number of students signed up for the classes during an orientation session = 32 Exactly…

Q: 2. An emergency committee consisting of 12 health's officer staffs is chosen from 10 doctors and 12…

A:

Q: Suppose an organization elects its officers from a board of trustees. If there are 52 trustees, how…

A: Given: Number of trustees = 52 Board has to elect a president, vice-president, secretary, vice…

Q: In a survey of 80 university students, 58 had taken mathematics course, 40 had taken biology course,…

A:

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

A: Given,no.of mens=11no.of womens=10

Q: A math club has eight members, and it must choose 5 officers---president, vice-president, secretary,…

A: We have 8 persons and we have to fill 5 places for the 5 officers.

Q: 1. (a) How many ways can a 3-person subcommittee be selected from a committee of 20 people (b) How…

A: a) Total number of people = 20 We have to pick a subcommittee of 3 people. So the order does not…

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

A:

Q: A certain student organization has 17 members - 7 math majors and 10 english majors. A committee of…

A: Total number of students = 17;  7 math majors and 10 English majors.