How different committees can be formed from 10 women and 7 men if the committee many consists of 4 women and 5 men?

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

A: Probability when 2 men can be selected from 8 men = 8C2 Probability when 3 women can be selected…

Q: Tony and Maria are two star-crossed lovers trying to get on a committee of 4 people. If there are 10…

A: Consider that the 10 people includes Tony and Maria.

Q: In an office of 18 people, there are 7 men and 11 women. A subcommittee of four people will be…

A: Given: total = 18 members Number of men = 7 Number of female = 11

Q: How many ways can a delegation of 4 Republicans, 3 Democrats, and 3 Independents be selected from a…

A: Given data Number of Republicans = 9 Number of Democrats = 9 Number of Independent = 4

Q: A group of 15 boys and 12 girls are planning to have a beach party. How many different committees of…

A: In how many different committees of 3 boys and 2 girls can be formed from this group of students if…

Q: A committee of 6 people is chosen from 7 women and 7 men. How many different committees are possible…

A: Since it is a group of persons so the arrangement does not matter.  We will have to use the…

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

A:

Q: How many ways can a delegation of 4 Republicans, 4 Democrats, and 2 Independents be selected from a…

A:

Q: how many ways can a coach choose four players from eight bench players to replace four of the five…

A: The number of ways in which r different items can be chosen from n different items is given as Crn…

Q: If 3 Americans, 4 British people and 2 French people are to be seated in a row, how many seating…

A:

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

A:

Q: A committee of six people is chosen from eight women and seven men.  How many          different…

A: Solution: From the given information, there are 8 women and 7 men. Here, 6 people are chosen at…

Q: A club has 21 sophomores and 13 freshmen president, secretary, and a committee of four, what is…

A: so it can be solve by using

Q: How many different committees consisting of 3 men and 2 Jadies each can be for 3. from a group of 6…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

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: There are 13 female board members and 17 male board members. How many ways are there to make a…

A: Given there are 13 female board members and 17 male board members. To find number of ways are there…

Q: How many ways can 3 sopranos and 5 altos be selected from 7 sopranos and 9 altos?

A:

Q: How many different committees of 3 people can be chosen from a group of 8 people?

A: Total number of people in the group are 8. Total number of people for the committee is 3.

Q: How many different committees can be formed from 7 teachers and 39 students if In how many ways can…

A:

Q: There are 9 female board members and 21 male board members. How many ways are there to make a…

A: We use combination to find number of way to make a committee.

Q: How many ways can a delegation of 5 Republicans, 5 Democrats, and 2 Independents be selected from a…

A: As we need to choose any 5 republicans from a group of 7 republicans, so we have 7C5 possible ways.

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

A:

Q: 24. Box A contains 7 balls and box B contains 16 balls. How many different selections of 10 balls…

A: Determine the different selections of 10 balls that can be made. The different selections of 10…

Q: A president, vice president, and 2 at-large members are selected for a school council from 7 people.…

A: It is given that 4 persons (a president, vice president, 2 at-large members) are selected for a…

Q: The math club needs to send 4 representatives – 2 females and 2 males to a meeting. If there are 12…

A: GivenNo. of female math club members = 12No.of male math  club memebrs = 23no.of representatives  to…

Q: Tony and Maria are two star-crossed lovers trying to get on a committee of 3 people. If there are 10…

A: In the question,Tony and Maria are trying to get on a committee of 3 people,Total number of eligible…

Q: There are 5 boys and 5 girls at a party. In how many ways can they be seated in a row if they must…

A:

Q: How many ways can a committee of 6 be selected from a club with 10 members?

A: The formula to calculate the number of ways to select b peoples from a total of a peoples is given…

Q: A firm has 2 Managers, 5 Consultants and 4 Analysts. How many ways can a committee be formed…

A:

Q: How many ways are there to make a committee of 19 board members if exactly 5 must be female?

A: Given Data: The number of female board members is: f=11 The number of male board members is: m=19…

Q: Tony and Maria are two star-crossed lovers trying to get on a committee of 4 people. If there are 9…

A: As per the question There are total 9 persons and a committee of 4 people are selected. In this…

Q: From 6 female employees and 5 male employees, how many groups of 5 employees can be organized…

A: There are 6 female employees and 5 male employees.

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: 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: How many ways can 3 red bulbs, 4 yellow bulbs, and 5 green bulbs be arranged in an electric wire…

A: Given, Let n1 be the 3 red bulbs Let n2 be the 4 yellow bulbs Let n3 be the 5 green bulbs and there…

Q: From a league of 20 players, we want to choose 11 players for a football match. A goalkeeper, a…

A:

Q: A committee of 4 people is chosen from 8 women and 8 men. How many different committees are possible…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

Q: There are 7 boys and 3 girls in a class. How many different ways can the classroom teacher create a…

A: From the given information,   Number of boys = 7 Number of girls = 3   Total = 10

Q: Tony and Maria are two star-crossed lovers trying to get on a committee of 3 people. If there are 9…

A:

Q: A committee of 6 U.S. senators is to be formed with 3 Democrats and 3 Republicans. In how many ways…

A: Given: There are 33 Democratic senators and 67 Republican senators. Find the number of ways in which…

Q: How may different committees of 3 students( 2 male and 1 female) can be formed from a group of 6…

A: We have to find no of different committee..

Q: An organization had 13 employees. There are 7 female employees and 6 male employees. How many…

A: Determine the different number of teams of 5 people can be chosen from these employees where there…

Q: From a league of 25 players, we want to choose 11 players for a football match. A goalkeeper, a…

A: We have to find correct answer..

Q: How many different committees can be formed from 11 teachers and 48 students if the committee…

A: a) answer = (11C3)*(48C2) = 165*1128 = 186120 Therefore, 186120 committees can be possible with 3…

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 committee of 6 people is chosen from 8 women and 8 men. How many different committees are possible…

A: Given that, a committee of 6 people is chosen from 8 women and 8 men. This is a combination problem…

Q: There are 5 women and 8 men in a department.  How many ways can this committee be selected if there…

A: It is given that, There are 5 women and 8 men in a department.

Q: How many different committees can be formed from 9 teachers and 32 students if the committee…

A:

Q: How many ways are there to seat 6 different boys and 6 different girls along one side of a long…

A: Given that, there are 12 persons and 12 seats. 12 persons includes 6 boys and 6 girls. Therefore,…

Q: If a club consists of 12 members, how many different ways are there for the club to fill the…

A: Given,total members=12

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.