6. A programming team has 14 members. a) How many ways can a group of seven be chosen to work on a project? b) Suppose eight team members are women and six are men. How many groups of seven can be selected such that they contain four women and three men? How many can be chosen so that they have at least one man?

Q: Use the Pigeonhole Principle for the following problems: da) Lemurs are being assigned to 8…

A: Pigeonhole principle states that if m pigeonholes are occupied by m + 1 pigeons, then at least one…

Q: a) There are 42 students who are to share 12 computers. Each computer is shared by at most six…

A:

Q: If there are four (4) students namely: karen, maxine, grace, and minie. How many different seating…

A: Given, The four students are karen, maxine, grace, and minie.  We have to find the number of…

Q: How many ways can we assign 124 students to 4 sections in such a way that Section 1 must have at…

A: Given: There are 124 students and 4 sections Section 1 must have at least 30 students, section 2…

Q: Suppose the group of twelve consists of five men and seven women, and five-personteam is to be…

A: Number of men: Number of women: Note: According to the guidelines we are allowed to solve three…

Q: For a class activity, a teacher put students into teams of 5. The teams were made up of 2 students…

A:

Q: 5) An ice cream shop has 10 flavours of ice cream and 7 toppings. Their megasundae consists of your…

A:

Q: Imagine that the final exams for five courses need to be scheduled, and only two time slots are…

A: Note: According to bartleby we have to answer only first three subparts please upload the question…

Q: Suppose that 4 Pistons need to be installed in a new engine block. there is a production run of 100…

A: Given, there is a production run of 100 Pistonsand 4 Pistons need to be installed in a new engine…

Q: How many ways are there to arrange colored blocks if there are 5 red, 3 white, and 4 blue?

A: From the provided information, There are 5 red, 3 white, and 4 blue colors. Total = 5 + 3 + 4 = 12

Q: 7. A computer programming team has 15 members consisting of eight humans and seven robots. A…

A: 7. Given that a computer programming team has 15 members consisting of 8 humans and 7 robots. Also,…

Q: A committee of size 6 is being formed from a group of 10 Republicans, 8 Democrats and 4…

A:

Q: A teacher assigns a group of 30 students into 3 groups of 10. The way the assignment process works…

A:

Q: 1. The manager of the Yankees has to choose 28 players for an upcoming game agai the Phillies. On…

A: a) Here he selects as a group, so the arrangement is not required. So we will use the combination…

Q: Suppose that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40…

A: Given that,  8 different type of candies. 50 cherry, 50 stawberry ,40 orange, 70 lemon, 30…

Q: What is the minimum number of students required in a Mathematics class test to be sure that at least…

A: We need to use the pigeonhole principle.  We need to find the minimum number of students that are…

Q: A baseball team has 13 possible batters. How many batting orders ofnine players can be made, such…

A: Ans-In this question we are given baseball team has 13 possible batters. and we want to find  how…

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: 6. Suppose a teacher has a class of 30 students. One day, he forgets to take roll but notices that…

A: The problem is asking us to find the number of students present in the class that day. We know that…

Q: 2. Michael is a young man who wants to start his career as a breeder. Michael wants start his farm…

A: Let us assume there are three persons A, B and C sitting beside each other. The different ways in…

Q: 10. There are 6 women and 5 men interviewing for 4 cashier positions at Costco.

A:

Q: A group of 12 environmentalists comprising of 7 lecturers and 5 technicians are to be selected to…

A: In the question , we are given the following information :  Total number of people =  12  Number of…

Q: salesperson is scheduling 5 meetings in one day. In how many different ways can the salesperson…

A:

Q: A freight train is going to carry four tankers, six coal cars, and ten lumber cars. How many…

A: It is given that, There are 4 tankers , 6 coal cars and 10  lumber cars.

Q: 3. A sports team has ten long distance runners, eight sprinters and five jumpers. A team of three…

A: (3) No.of long distance runners = 10 No.of sprinters = 8  No.of jumpers = 5 consider that a team of…

Q: A jar is to be filled with 100 jelly beans. There are five varieties of beans to choose from and we…

A: As per given by the question,  The total number of jelly beans that is filled in the jar is 100.…

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

A:

Q: A club has 11 members. Five are to be chosen to go as a group to a national meeting. If the club…

A: The total members in the club is 11. Of them, 7 are men and 4 are women. The main objective is to…