involving the cans of cola in a cooler. For this problem, assume the cooler contains 35 cans, 27 of which are regular, and the rest of which are diet. (1) How many ways can you choose 6 cans from the cooler? (2) How many ways can you choose 6 regular cans from the cooler? (3) How many ways can you choose 6 diet cans from the cooler? (4) How many ways can you choose 6 cans from the cooler so that at least 5 are diet?

Q: rosia delivers prescriptions for the local pharmacy. On Tuesday, she delivered 5/9 of the…

A: Let x be the number of prescriptions the Frosia had .

Q: 5. We are designing gift bags of fruit, and a bag is supposed to contain 30 pieces of fruit. Find…

A: Generating function corresponding to the choice of apples is,…

Q: You are making a sandwich for lunch and you have lettuce, tomato, cheese, turkey and ham as possible…

A: There are 5 possible ingredients.

Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…

A:

Q: (a) Suppose that there were 11 candy bars in the box. Given that Bob did homework for a total of 54…

A: a). Total number of hours spent on homework: 54+243+703=1000 minutes Number of candy bars=10…

Q: Frosia delivers prescriptions for the local pharmacy. On Tuesday, she delivered 5/9 of the…

A: Given: Frosia delivers prescriptions for the local pharmacy. On Tuesday, she delivered 59 of the…

Q: A restaurant wants to prepare meals for 4 customers. In the restaurant there are only 2 kinds of…

A:

Q: Selecting a Committee There are 7 women and 5 men in a department. How many ways can a committee of…

A:

Q: Selecting a Committee There are 7 women and 5 men in a department. How many ways can a committee of…

A:

Q: involving the assignment of tasks to the men and women of a committee. Assume that you have a…

A:

Q: A restaurant offers a dinner special for two people for $20 that lets you choose from 9 entrees, 10…

A: The question is about combination Given: Total no. of entries to choose from = 9 Total no. of side…

Q: (a). Three boys and three girls are seated at the round table. How many different arrangements are…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: A girl can take 3 books from her school library and there are 10 books of her interest in the…

A: Given is ; There are 10 books of her interest and she can take 3 books from her library Calculation…

Q: Combination 1. A panel of judges is to consist of four women and three men. A list of potential…

A: This question can be solved using the concept of selecting r objects from n given objects when the…

Q: Combination. There are 15 technicians and 11 chemists working in a research lab. They need to form a…

A:

Q: Two classes are going to combine to da a project together. The first class has 24 students and the…

A: Given,Two classes are going to combine to do a project together. The first class has 24 students and…

Q: involving the cans of cola in a cooler. For this problem, assume the cooler contains 36 cans, 20 of…

A:

Q: twenty tickets are entered into a raffle. 1st prize receives $100;2nd prize receives $25;3rd prize…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: There are 18 candidates for three positions at a restaraunt. One position is for a cook. The second…

A:

Q: A baker has only 10 cookies left in his shop. 3 of them are chocolate, 5 are peanut butter and 2 are…

A: Given, Total cookies = 10 Chocolate - 3 Peanut butter - 5 Blueberry - 2 A customer wants to buy 6…

Q: At an awards ceremony, six women and four men are each to receive an award and are to be presented…

A: Introduction:Permutation:If n objects are to be arranged in r places (n > r) in a certain order,…

Q: Teo has a combonation of quartars, loonies and toonies in his pocket he knows he has 9 coins in…

A: The number of total coins are 9.

Q: A school offers 3 scholarships annually. Suppose 24 students are eligible to receive the…

A:

Q: You have 5 shades of blue paint and 2 shades of red paint. You are painting a room, and wish to use…

A: Given information: The number of shades of blue paint is 5. The number of shades of red paint is 2.…

Q: You have 4 shades of blue apint and 3 shades of red paint. You are paint a room, and wish to use…

A: Let a, b, c, d denote the 4 shades of blue and x, y, z the 3 shades of red. The different…

Q: A pizza can be ordered with your choice of one of 4 different meats or no meat. You also have a…

A: Solution :  Here we have given that, 4 different meats or no meat. that means we have 5 type of…

Q: A company produces 5 different types of cookies. a) How many different boxes with 12 cookies is…

A:

Q: You have 3 friends and you have 6 presents for them. How many ways can you distribute 6 presents to…

A: If there are n items and the number of ways to place each item is m, then the total number of ways…

Q: involving the assignment of tasks to the men and women of a committee. Assume that you have a…

A: Number of men in a committee = 8 Number of women in a committee = 7 Total number of members in a…

Q: At an awards ceremony, nine women and eight men are each to receive an award and are to be presented…

A: Since the men and women are not individually characterized (no names are given) we will treat them…

Q: An elementary school is offering 3 language classes: one in Spanish, one in French, and one in…

A: Let S be the student from Spanish class, F be the student from French class, and G be the student…

Q: Frosia delivers prescriptions for the local pharmacy. On Tuesday, she delivered 5/9 of the…

A: Given that Frosia delivers prescriptions for the local pharmacy from the store.  To find the number…

Q: car company has $44,000 to spend on robots to put paint on new cars. There are 2 types of robots,…

A:

Q: Q5.1 How mam ways can the prizes be distributed if the prizes are distinct and each person can…

A: As per bartleby guidelines, for more than three parts, first three needs to be solved and others are…

Q: Once upon a time, there is a special 7up store in GUB. If you return three empty bottles to the…

A: Given,  By returning 3 empty bottles, you will get 1 full bottle.    So after returning 'n' empty…

Q: A freshman class at a local high school consists of 2500 males and 3000 females. Of this class, 3500…

A: Given:-   male students =2500 female students =3000 total students = 2500+3000=5500 graduated…

Q: ars contain some chocolates. Th 2nd jar contains 4/5 the number of chocolates in the 1st jar. The…

A: Introduction: The ratio is a comparison between two quantities of the same units that shows how much…

Q: A company produces 4 different types of cookies. a) How many different boxes with 10 cookies is…

A: Follow the steps.

Q: For this problem, assume Gwen and Harry have 4 types of cones and 11 flavors of ice cream. (1) In…

A: 1) Given that there are 4 types of cones and 11 flavors of ice cream. So, we can select a cone in…

Q: boys and 12 girls are planning to have a beach party. How many differrent committees of 3 boys and 2…

A: To find : Number of  different committees of 3 boys and 2 girls can be formed from this group of…

Q: 9 books in a row on his bookshelf. He will put one of the books, Hamlet, in the first spot. He will…

A: Given Data: Total books: n=9 First spot: One book, Hamlet Last spot:  One book Macbeth   In the…

Q: (b) A class of 18 students is divided into 3 groups of four students and 2 groups of three students.…

A: As per given by the question, A class of 18 student is divided into three groups of four student and…

Q: From a group of 10 men and 12 women. How many committees of 5 men and 6 women can be formed?

A:

Q: At an awards ceremony, six women and five men are each to receive an award and are to be presented…

A: To calculate the possible arrangements of the awards according to the given contions

Q: 6. A bag contains 6 green and 8 red jellybeans. How many ways can 4 jellybeans be withdrawn from the…

A:

Q: involving the assignment of tasks to the men and women of a committee. Assume that you have a…

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

Q: A horse race has 12 horses. i ) How many dierent ways can the podium be arranged? (The podium has a…

A: (i). Find the number of different ways in which the podium can be arranged: Total number of horses…

Q: Example 3.17. Suppose you are working on a ten-digit keypad to open a door. You know the combination…

A: Hello there! According to our principles can answer only three subparts per question. So kindly find…

Q: how many ways does he have to pack 8 shirts given these two restrictions?

A: here use counting principle

Q: A company sells regular hamburgers as well as a larger burger. Either type can include cheese,…

A: If a number of objects have to be selected from a group of objects, we use the combination formula.…