Suppose a class consists of 4 students majoring in Computer Science, 5 students majoring in Mathematics and 3 students majoring in Islamic Studies. How many compositions are possible for forming a group of 6 students, if each group should consist of 2 students majoring in Computer Science, 1 student majoring in Mathematics and 3 students majoring in Islamic Studies?

Q: How many different teams of 44 can be chosen from a group of 1818 children and 1515 adults if each…

A: It is given that the number of children is 18 and the number of adults is 15.

Q: Suppose that an outfit consists of a shirt and a pair of pants. If you have 4 different shirts and 3…

A:

Q: From a club of 25 people, in how many ways can a group of six members be selected to attend a​…

A: In how many ways a group of six members can be selected from a club of 25 people.

Q: How many different teams of 4 can be chosen from a group of 15 children and 17 adults if each team…

A: According to provided data, there is total of 15 children (C) and 17 adults (A). Therefore, the…

Q: How many different teams of 4 4 can be chosen from a group of 15 15 children and 17 17 adults if…

A: Given: Number of children = 15 Number of adults = 17

Q: Suppose a class consists of 4 students majoring in Mathematics, 3 students majoring in Islamic…

A:

Q: From a club of 17 people, in how many ways can a group of six members be selected to attend a…

A:

Q: If 7 numbers will be used to form telephone numbers, how many possible telephone numbers can be…

A:

Q: 1) Suppose a class consists of 5 students majoring in Islamic Studies, 3 students majoring in…

A: 1) Given, A class consists of 5 students majoring in Islamic Studies, 3 students majoring in…

Q: A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be…

A: Given : Total number of people = 20 Number of committee member = 6

Q: A group has 10 men and 7 women. If 6 people are selected for a committee so that the majority of the…

A: Total number of people are 10+7=17 For the committee to be made with majority women, number of…

Q: A senate committee has 15 members.  If a subcommittee of 6 senators is to be formed from the…

A:

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…

A:

Q: Suppose a class consists of 3 students majoring in Computer Science, 5 students majoring in Islamic…

A: The number of students majoring in the subject Computer Science is given as, n=3 Note that while…

Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

A:

Q: A computer gaming company employs 10 programmers, 6 graphics specialists, and 3 creative designers.…

A: 4 programmers can be chosen from a group of 10 programmers in 10C4 ways. 2 graphics specialists can…

Q: How many committees of five can be selected from eight men and seven women if the committees contain…

A: Number of men = 8  Number of women = 7  Total number of men and women = 15

Q: In a class, there are 4 students majoring in computer science, 9 students majoring information…

A:

Q: uppose a class consists of 5 students majoring in Mathematics, 3 students majoring in Computer…

A: given that

Q: Suppose a class consists of 5 students majoring in Mathematics,5 students majoring in Islamic…

A: The class consists of 5 students majoring in Mathematics,5 students majoring in Islamic Studies and…

Q: Suppose a class consists of 5 students majoring in Computer Science, 5 students majoring in…

A:

Q: Suppose a class consists of 3 students majoring in Islamic Studies, 4 students majoring in english…

A: Given, A class consists of 3 students majoring in Islamic Studies, 4 students majoring in English…

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: According to the provided information, number of female students = 9 number of male students = 12…

Q: Suppose a class consists of 4 students majoring in Mathematics, 4 students majoring in Computer…

A: The number of students majoring in Mathematics = 4. The number of students majoring in Computer…

Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

A: Consider the number of members is 18. The number of posts is 3. Then, the total number of ways in…

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: Combination:   A combination is a selection of objects where order is not important.   If n is…

Q: Suppose a class consists of 3 students majoring in Computer Science, 4 students majoring in…

A: Students in computer science CS = 3 Students in mathematics MS= 4 Students in Islamic studies IS= 4

Q: Suppose a class consists of 3 students majoring in Islamic Studies, 4 students majoring in…

A:

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: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

A:

Q: In how many ways can one black America and one Latino be selected from 15 black Americans and 6…

A: In order to get the result we have to calculate total no.of permutation.

Q: there are 6000 students at mountain high school and 3/4 of these students are seniors,if 2/3 of the…

A:

Q: Suppose a class consists of 4 students majoring in Computer Science, 4 students majoring in Islamic…

A: Given, Suppose a class consists of 4 students majoring in Computer Science, 4 students majoring in…

Q: How many different teams of 3 can be chosen from a group of 9 adults and 8 children if each team…

A: There are 9 adults and 8 children. A team has to be selected with 3 members.

Q: Suppose a class has 20 students and there are 11 males and 9 females. How many ways can a committee…

A: Given Total students = 20 males = 11 females = 9

Q: In how many ways can a subcommittee of eight be chosen from a Senate committee of seven Democrats…

A: We have to find In how many ways can a subcommittee of eight be chosen from a Senate committee of…

Q: Suppose a class consists of 4 students majoring in Mathematics, 3 students majoring in Computer…

A: Number of students in mathematics MS= 4 Number of students in computer science CS = 3 Number of…

Q: Suppose eight team members are girls and six are boys, How many groups of seven can be chosen that…

A: Let n denote the total number of girls, then n=8. Let m denote the total number of boys, then m=6.…

Q: A man has eight shirts and five ties. Assuming that they all match, how many different shirt-and-tie…

A: Given,            A man has eight shirts and five ties.

Q: A fast-food restaurant offers a special luncheon menu consisting of a sandwich, French fries, and a…

A: Given, A fast-food restaurant offers a special luncheon menu consisting of a sandwich, French fries,…

Q: how many teams can be made if they must all be boys?

A:

Q: A total of 50 students are in a class and they are to be divided into groups of 5. How many…

A: Ans - Given,       A total of 50 students are in a class and they are to be divided into groups of…

Q: How many committees of 4 can be made from a group of 20 republicans and 15 democrats if at least 1…

A: Since we need at least 1 republican and at least 1 democrat in the committee. So we pick 1 of each…

Q: A small high school has 35 seniors, 25 juniors, and 15 sophomores. If 3 students are chosen from…

A:

Q: If the chair of a math department has to appoint a committee of 4 professors from among the 10…

A:

Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

A:

Q: A certain elementary school club has 50 members, 20 of which are girls and 30 are boys. If the club…

A:

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…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.