For each of the following problems, explain if the problem is one involving permutations or combinations. (It is not necessary to solve the problem.). Solve, a. How many ways can you select 6 free DVDs from a list of 200 DVDs?b. In a race in which there are 50 runners and no ties, in how many ways canthe first three finishers come in?

Q: A casting director wishes to find one cat and one dog to cast in his play. If he plans to audition 5…

A: The objective of this question is to find the number of different ways the casting director can…

Q: The University of Montana ski team has twelve entrants in a men's downhill ski event. The coach…

A: There are 12 entrants in a ski event and from these entrants first, second and third places to go to…

Q: Again it is related to my trip to Vancouver: Fly to Vancouver and to have a vacation is not a cheap…

A: Solution: Given information: n = 98 Sample size of couples  x = 3031 Sample mean s = 361 Sample…

Q: The University of Montana ski team has eleven entrants in a men's downhill ski event. The coach…

A:

Q: there are 6 men and 7 women in the math club. a committee is to be formed consisting of 3 men and 4…

A:

Q: For each situation below, identify whether it is a permutation or combination problem and then find…

A: Permutation relates to the act of arranging all the members of a set into some sequence or order.…

Q: Let's say you are shopping for a sofa this weekend with a budget of no more than $400. Inside a…

A:

Q: A birthday cake is to have two layers of cake separated by a layer of icing, with another layer of…

A: Given information: The number of layers is 2. The number of kinds of cake is 5. The number of types…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: The math club has seven members and will choose a team of three to send to a competition. The…

A: Given that the math club has 7 members and will choose a team of 3 to send to a competition.  The…

Q: At a race track you have the opportunity to buy a ticket that requires you to pick the first and…

A:

Q: A professor gives his students 6 essay questions to prepare for an exam. Only 2 of the questions…

A: The objective of this question is to find out the number of different exams that are possible given…

Q: 20 fifth graders compete in a spelling bee. If there is a gold medal, silver medal, and bronze medal…

A: We have  Medals = 3 Positions = 3

Q: The Croods, Half Brothers, All My Life, The War with Grandpa, and Let Him Go are playing tonight at…

A: Suppose we have n different positions and n different object to place then we can numbered position…

Q: How many ways can Susan assign someone to buy​ beverages, someone to arrange for​ food, and someone…

A: Here Given  Susan Has 9 Friends   (Vicki, Luis,​ Maddy, Hank, Rob, Sean, Marie, Roy, and Jeanne)

Q: How many ways can 4 people sit in a row of 7 chairs? The number of ways 4 people can sit in a row of…

A: Given: number of chair (n)=7 number of people (x)=4

Q: Renae, Nexael, Braden, Lovely, and Vanessa are attending a play and want to sit together in a row.…

A:

Q: For this problem, assume that you are to pick 2 cars from the motor pool, which contains 6…

A: From the given information, there are  6 subcompact cars, 6 compact cars and 5 midsize cars.  pick 2…

Q: There are 27 students in Mrs.​ Pietz's fifth grade class at an international school. All of the…

A: (a) Determine the number of students speak both English and Japanese.   The number of students speak…

Q: A toll collector on a highway receives $8 for trucks and $7 for cars. At the end of a 3-hour period,…

A:

Q: or this problem, assume that 13 exhibits entered the science fair, and that we want to assign 5…

A: Given Data :  Number of exhibits are 13 in a science fair                        Number of Prizes…

Q: For this problem, assume that 13 exhibits entered the science fair, and that we want to assign 3…

A: The number of exhibits entered the science fair is 13. The number of prizes that are to be assigned…

Q: John has 9 boxes of apples. Each box holds 12 apples. If 6 of the boxes are full, and 3 of the boxes…

A:

Q: A student needs 8 more classes to graduate. If she has met the prerequisites for all the classes,…

A:

Q: A boy owns 5 pairs of pants, 3 shirts, 2 ties, and 2 jackets. How many different outfits can he wear…

A: There are 5 pairs of pants 3 shirts 2 ties 2 jackets The boy must wear one of each item.

Q: At a race track you have the opportunity to buy a ticket that requires you to pick the first and…

A: pick the first and second places in the firdt two races.  first race runs 12 horses second race runs…

Q: A birthday cake is to have two layers of cake separated by a layer of icing, with another layer of…

A: Given information: The number of layers is 2. The number of kinds of cake is 3. The number of types…

Q: You are buying 10 t-shirts and there are 8 different colors to choose from. How many ways can you…

A: Probability A probability provides the possibility of occurring an event. For example, A school team…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.