From 5 men and 4 women, how many committees can be selected consisting of: - 3 men and 2 women? - 5 people of which at least 3 are men?

Q: There are 22 students in a fraternity. In how many ways can a committee of 6 students be selected?…

A: Given that Number of students=22 Number of students selected=6

Q: A new committee is to be made from the 8 members of city council. Each member can choose to be on…

A: We have to find nom of committee possible.

Q: A literary magazine editor must choose 4 short stories for this month’s issue from 17 submissions.…

A: Combination: It is the process of selecting certain objects under certain conditions accordingly. In…

Q: en and seven women in a ballroom dancing class. If four men and four women are chosen and paired…

A: men = 6  women = 7 Total = 6+7 = 13 The number of ways that 4 men and 4 women are selected are:…

Q: There are 8 people at an office meeting. How many handshake

A: Formula: If there are n persons, The number of handshakes is, nn-12

Q: From the 10 male and 9 female sales representatives for an insurance​ company, a team of 2 men and 3…

A: GivenNo.of males=10No.of females=9Total no.of peoples=19

Q: A student organization of 12 wants to select a president, a vice-president, and a treasurer. How…

A: A student organization of 12 wants to select a president, a vice president, and a treasurer.i.e.…

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

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Q: A committee is comprised of 5 mathematicians, 2 historians, 7 economists, and 5 scientists. How many…

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Q: How many different committees can be formed from 9 teachers and 33 students if the 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 company has 42 employees. How many different ways can 7 people be chosen to serve on a committee…

A: We can choose the 7 persons in 42C7 ways  Where 7 people are chosen then there are (42-7)=35 people…

Q: The group of qualified candidates for five positions is made up of eight women and six men. How many…

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Q: Out of 5 mathematicians and 7 physicists, a committee consisting of 2 mathematicians and 3…

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Q: There are 12 applicants for 4 scholarships for 4 different amounts: $100,000 and $80,000 and $60,000…

A: Total applicants = 12  For 4 scholarships for 4 different amounts  How many different groups of…

Q: Find the number of ways to break a group of 12 people into 3 smaller groups, at least one person per…

A: The problem boils down to finding the number of solutions to x_1+x_2+...+x_r=n. We refer a standard…

Q: In a group of 9 people, there are 4 females and 5 males. Determine the number of 4-member committees…

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Q: The qualified applicant pool for five management trainee positions consists of six women and five…

A: According to the provided information,  6 woman and 5 man  Total number of members = 11 5 management…

Q: How many different committees can be formed from 12 teachers and 39 students if the committee…

A: No. of teachers=12no. of students=39committee should consist of 3 teaches and 2 students

Q: SubWay offers 4 types of bread, 5 different meats, 8 toppings and 5 spreads. How many different…

A: Given: Types of bread = 4 Types of meats = 5 Types of toppings = 8 Types of spreads = 5 1 item is…

Q: How many committees of six can be formed from 17 Republicans and 14 Democrats if three members of…

A: Given : 17 Republicans and 14 Democrats

Q: there are 5 faculty, 4 students, and 3 office staff eligible to serve on a 6 person committee. how…

A: At most 1 means 0 or 1 faculty member If there are 0 faculty members then we have to select 6…

Q: From the 9 male and 6 female sales representatives for an insurance​ company, a team of 4 men and 3…

A:

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: How many ways are there to select the 5-person committee such that exactly 2 local business owners…

A: We have given that  Total number of volunteers = 20 Number of homeowners = 11 Number of local…