An employee group requires 6 people be chosen for a committee from a group of 16 employees. The employee group has 6 women and 10 men. How many ways are there where 3 of the people chosen for the committee are women and 3 people chosen for the committee are men? 2400 The committee requires that exactly 2 people from Human Resources serve on the committee. There are 5 people in Human Resources. How many ways are there where exactly 2 of the people chosen for the committee are from Human Resources?

Q: Find the number of different ways that an instructor can choose 7 students from a class of 16…

A: No. of students in a class for field trip(n)=16No. of students that an instructor can choose(r)=7

Q: There are two roads between towns A and B. There are three roads between towns B and C. How many…

A: There are two roads between towns A and B, and three roads between towns B and C. The number of…

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: A staff car park at a university has 13 parking spaces in a row. There are 9 cars to be parked.…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: A department consists of 5 men and 7 women. From this department you select a committee with 3 men…

A: From the provided information, A department consists of 5 men and 7 women. We select a committee…

Q: A parent brings 4 children to a movie and the family sits in a row of 5 seats. How many ways can…

A: There are total 5 members to sit. 4 of them are children and one parent. The parent sit on one one.…

Q: There are 14 male employees and 9 female employees at a shoe store.  The store manager wants to form…

A: Since he is picking as a team so we will use the combination method because arrangement does not…

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: The organizer of a conference is selecting workshops to include. She will select from 7 workshops…

A: Given,no.of chemistry workshops=7no.of biology workshops=6

Q: Your car seats 5 people, including the driver. You have 8 friends who all need you to drive them…

A:

Q: How many different committees can be formed from 7 women and 8 men if the committee consists of 5…

A: We can select 5 women from 7 women in 7C5=21 ways We can select 4 men from 8 men in 8C4=70 ways

Q: There are 7 women and 8 men in a department. How many ways can a committee of 4 people be selected?

A: The objective of this question is to find out the number of ways a committee of 4 people can be…

Q: Five men and three women are to be seated in a row of 8 chairs. How many different seating…

A: First find the total number of cases, here there are 8 chairs and 8 persons, so a total number of…

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: There are 5 men and 8 women auditioning to be in the school play. Answer the following questions: 1.…

A: Given : Number of men = 5 Number of women = 8

Q: A student needs 9 more classes to graduate. If she has met the prerequisites for all the classes,…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…