A certain elementary school club has 50 members, 20 of which are girls and 30 are boys. If the club has to select a committee of 5 members, how many ways can the committee be selected if it has to have at least 2 girls?

Q: A time traveler can take 3 books with him , and he has 68 books to chose from . How many different…

A: Solution

Q: There are 23 students in a class, and 6 of them will be chosen to go on a field trip. How many ways…

A:

Q: In a cohort of 46 graduating students, there are 5 different prizes to be awarded. If no student can…

A: A Permutation is the choice of r things from a set of n things without replacement and where the…

Q: There's a club of 10 men and 13 women. In how many ways can they choose a president, Vice President,…

A:

Q: The coach of a volleyball team has to select 6 players to start a match from a squad of 10 players.…

A: The coach of a volleyball team has to select 6 players to start a match from a squad of 10 players.…

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: An organization has 15 members, 5 of whom are analysts, 3 of whom are chemists and the rest are…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

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: A class of 50 students consists of twenty four boys and 26.how many different ways can 5 students be…

A: Given: A class of 50 students with 24 boys and 26 girls are there. Now ,total of 5 students are…

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

A:

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

A:

Q: Suppose there is a club of 15 people. In how many ways can a committee of 3 people be selected?

A: Our objective is to find the number of way

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: The football team consists of 15 members. In how many ways can a playing team of 11 players be…

A: = 1365Hence, there are 1365 ways to form a football team with 11 players from 15 players.

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

A:

Q: how many ways can those offices be​ filled?

A: Given that: A club has 7 members.

Q: A certain committee has organized a retreat for all couples, where the couples are to sit around a…

A: SolutionGiven A certain committee hasorganised a retreat for all couples, wherethe couples are to…

Q: From the 8 male and 9 female sales representatives for an insurance company, a team of 2 men and 3…

A: There are 8 men and 9 women representative for an insurance company, and we have to select 2 men and…

Q: A club with 5 members is to choose 3​ officers: ​ president, vice-president, and​…

A:

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

A:

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

A: Given Data: The total number of members is: n=25 There are three members required a president,…

Q: How many different committees can be formed from 9 teachers and 44 students if the committee…

A:

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: A club with 25 members is selecting a committee of 6 people. In how many ways can this be done?

A: *concept:- use defination of Combination.

Q: If a club consists of 13 members, how many different arrangements of president, vice-president, and…

A: Here we have to arrange president, vice president and a secretary. An office can be run by only one…

Q: A committee of 5 is to be chosen from a group of 10 people. How many ways can it be chosen, if Bill…

A: Below the solution

Q: If a club consists of 18 members, how many different arrangements of president, vice- president, and…

A:

Q: In a cohort of 25 graduating students, there are 3 different prizes to be awarded. If no student can…

A:

Q: How many different committees can be formed from 7 teachers and 49 students if the committee…

A: From the provided information, There are 7 teachers and 49 students and the committee consists of 2…

Q: If a board has 5 women and 4 men. How many ways can you form a committee containing 3 members such…

A: Given that a board has 5 women and 4 men. Now we want to form a committee containing 3 members such…

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

A: Given that there are total 14 members.    A president, a secretary, and a treasurer represent 3…

Q: A student committee is to consist of 2 freshmen, 4 sophomores, 3 juniors, and 5 seniors. If 11…

A:

Q: From the 10 male and 7 female sales representatives for an insurance company, a team of 4 men and 2…

A: Given that from the 10 male and 7 female sales representatives for an insurance company a team of 4…

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

A:

Q: There are 10 people to be selected from. How many committees are possible?

A: Here use combination

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: In a​ bag, there are 6 purple and 12 green marbles. If you reach in and randomly choose 5 ​marbles,…

A: Given, there are 6 purple and 12 green marbles in a bag To find the number of ways to choose exactly…

Q: Suppose a library has at least 6 copies of mathematics book, at least 6 copies of a physics book,…

A:

Q: A president, a treasurer, and a secretary are to be chosen from a committee with 30 members. In how…

A:

Q: In a group of 6 boys and 4 girls, 4 children are to be selected. In how many ways can they be…

A: The number of ways in which r different items can be selected from n different items, can be given…

Q: A committee of 6 people is to be chosen from 5 men and 8 women. In how many ways can this be done (1…

A: Solution

Q: From the 9 male and 6 female sales representatives for an insurance company, a team of 2 men and 2…

A:

Q: In a​ bag, there are 11 purple and 7 green marbles. If you reach in and randomly choose 4 ​marbles,…

A: Given in a​ bag, there are 11 purple and 7 green marbles. If we reach in and randomly choose 4…

Q: A veterinarian surveys 28 of his patrons.  He discovers that 12 have dogs, 10 have cats, and 6 have…

A:

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

A:

Q: From the 6 male and 6 female sales representatives for an insurance​ company, a team of 2 men and 4…

A: We will find out the required value.

Q: From a group of 10 men and 12 women, only 5 will randomly sit down in a row of 5 chairs. How many…

A: Solution :-

Q: If there are 10 people and only 6 chairs are available, in how many ways can they be seated?

A: