a committe of 4 is to be selected from 6 men and 5 women. 1 particular man and 1 particular woman refuse to serve if the other person is on the committe. how many different committe may be formed

Q: How many different committees are possible that consist of 5 women and 3 men selected from a group…

A: For a committee, arrangement does not matter so use the combination method.  We can select 5 women…

Q: Both of my friends Abu and Deps will be part of the group? Only one of them will be part of the…

A: Here use combination for given problems

Q: A group of four students studying for a bar exam has formed a study group. Each member of the group…

A:

Q: There are 5 third year and 4 fourth year ECE students qualified to join a contest. In the group…

A: The number of ways to select r number of different objects from n number of different objects can be…

Q: a blood​ drive, 6 donors with type O+ ​blood, 5 donors with type A+ ​blood, and 2 donors with type…

A:

Q: Twelve teachers are to be assigned to three schools. In how many ways can this be done if: a…

A: Given Twelve teachers are to be assigned to three schools

Q: Twelve teachers are to be assigned to three schools. In how many ways can this be done if: a…

A: Given data Twelve teachers are to be assigned to three schools.

Q: From among the 36 teachers in a college, one principal, one vice-principal and the teacher-in-charge…

A: It is given that there are 36 teachers in a college. We have to appoint one principal, one…

Q: If 2 specific persons among the 10 people lined up to get on the bus refuse on following each other…

A:

Q: how many ways can a committee of three men and four women can be formed from a group of nine men and…

A: Given data, No of men =9 No of women =6 In how many ways can a committee of three men and four…

Q: In a police departmets there are 7 policemen. If there are 7 districts that should be on patrol, how…

A: Given that total policemen, n= 7 And districts, r= 7

Q: There are 20 seniors serving the student council of a certain school. Of the 20, 3 have not served…

A:

Q: In how many ways can a committee of four Democrats and five Republicans be formed from a group of…

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

Q: With 20 people seated around a tabke, how many ways can 3 people be selected without any being…

A: It is given that there are 20 people seated around a table. The total number of ways of selecting 3…

Q: A mother, father, and their three children are to line up for a photo. In how many ways can these…

A:

Q: A certain congressional committee consists of 8 senators and 12 representatives. How many ways can a…

A: It is given the number of senators is 8 and representatives is 12.

Q: In how many ways can a teacher distribute 10 distinct books to 10 students (each student is to…

A: To distribute 10 distinct books to 10 students initially (one book per student), you have 10 choices…

Q: If 3 representatives from Company A, 4 representatives from Company and 2 lawyers (from a different…

A: Given data , 3 representatives from Company A , 4 representatives from Company B , 2 lawyers from (…

Q: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

A:

Q: Of 13 students in a class,4 will be chosen to go on a felid trip.how May different ways can they be…

A: Combination of number of objects is their arrangement without considering the order while…

Q: There are 11 goldfish in a fishpond. In how many ways can 5 be chosen to be moved to another…

A: →Whenever, we have to select r things without knowing order of selection    from n things , then…

Q: In how many ways can a committee of five Democrats and six Republicans be formed from a group of…

A: The objective of this question is to find the number of ways a committee can be formed from a group…

Q: A group of five students studying for a bar exam has formed a study group. Each member of the group…

A: Permutation:   A permutation is an arrangement of objects in a definite order.   Let n is the total…

Q: Twelve teachers are to be assigned to three schools. In how many ways can this be done if: i. a…

A:

Q: At a blood drive, 6 donors with type O+ blood, 5 donors with type A+ blood, and 3 donors with type B…

A: Given that, 6 donors with O positive blood 5 donors with A positive blood 3 donors with B positive…

Q: Prizes are to be given to different people in a group of 18. In how many ways can a first prize, a…

A: Use the given information.

Q: suppose that ten service customers need service call and the maintenance worker can only service…

A: Consider the given information. Total Number of service customers = 10 Number of services done each…

Q: There are 15 persons in a party and if each 2 of them shakes hands with each other, how many ways…

A: Given data: 15 persons in a party Each 2 of them shakes hands with each other

Q: A company has hired 24 new employees, and must assign 10 to the day shift, 9 to the evening shift,…

A: The question is about counting Given : Total no. of employees = 24 No. of employees assign to day…

Q: If a coin is flipped 10 times, how often are there 6 or more heads?

A: We want to find the probability  P(X≥6)= ?

Q: How many 4-person committiees can be formed from a group of 8 teachers and 5 students if there must…

A: If there is 1 teacher, then there must be (4-1)=3 students.  We can pick 1 teacher from 8 teachers…

Statements and Logic

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