The pro at a golf course stocks two identical sets ofwomen’s clubs, reordering at the end of each day (fordelivery early the next morning) if and only if he has soldthem both. Construct a tree diagram to show that if hestarts on a Monday with two sets of the clubs, there arealtogether eight different ways in which he can make saleson the first two days of that week.

Q: Suppose that there are nine students in a discrete mathematics class at a small college a) show that…

A: Given: 9 students in a discrete mathematics

Q: How many unordered selections of three elements can be made from the set {a, b, c, d, e, f}?

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Q: Construct a tree diagram showing all possible results when three coins are tossed.Then list the ways…

A: Given: 3 coins are tossed.

Q: Write the following into tree diagram. 1. Tossing a coin 3 times 2. Roll a dice twice III. swer:

A:

Q: How many distinct 5-letter strings can be created using the letters A, B, C, D, E if repetition is…

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Q: An experiment consists of tossing a die and then flipping a coin once if the number on the die is…

A:

Q: Prove that at a party where there are at least two people, there are two people who know the same…

A: There are two cases to consider:   Assume there is a someone at the party, who knows everyone else…

Q: 1.) Ivan plays four field tennis matches. Build a tree diagram to indicate the possible combinations…

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Q: Find all centralisers and conjugacy classes in .S3

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Q: Suppose that in a certain association, there are 12 elected members of the Board of Directors. In…

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Q: How many different teams of 4 can be chosen from a group of 16 adults and 18 children if each téam…

A: Given : 16 adults and 18 children If each téam must have at least two adults on it , then there are…

Q: A food specialty store receives 2 cherry cheesecakes each morning. Cheesecakes not sold by closing…

A: According to the provided data, the store receives 2 cherry cheesecakes each morning and cakes are…

Q: 1. The pro at a golf course stocks two identical sets of women's clubs, reordering at the end of…

A:

Q: A set of dice is called intransitive (or non-transitive) if it contains three dice, A, B, C, with…

A: There are three dice, which have the following faces: Die A= {2,2,4,4,9,9} Die B= {1,1,6,6,8,8} Die…

Q: On August 31 there are five wild-card terms in theAmerican League that can make it to the play-offs,…

A: There are 5 teams in the American League. Let the teams be T1, T2, T3, T4 and T5

Q: A study was done to determine the efficacy of three different drugs-A. B. and C-in relieving…

A:

Q: Q.No. 3: Consider the following tree b a. Siblings of d, c, and u b. Ancestor of s, c and a

A: For the given tree it is required to find: a: Siblings of d, c, and u.

Q: uppose that there are eight runners in a race. The winner receives a gold medal, the second place…

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Q: Which of the illustrates a permutation? A. Selecting a set of JS Prom committee consisting of 8…

A:

Q: Construct a tree diagram showing all possible results when three coins are tossed.Then list the ways…

A:

Q: Choosing the first, second and third-place in a race with 10 competitors. Ten students have been…

A: b) 1)10P3 = 10×9×8 =720     2)10C4 =10×9×8×74×3×2×1=210     3)8C4=  8×7×6×54×3×2×1=70     4)5!6!

Q: A directory in computer memory contains both files and 5 subdirectories. How many directories can be…

A: A directory is represented as a container that is used to hold group of files and folders in an…

Q: Use the method of Example 9.5.11 to answer the following questions. (a) How many distinguishable…

A:

Q: When rolling an eight sided die, and a four sided die, how many possible combinations are there?…

A: The first dice is eight sided and the second dice is four sided. therefore, for the first dice, the…

Q: If A=(1,2,3,4,5.6,7), What is the number of nonempty subsets of A?

A:

Q: b) Use generating functions to determine how many four element subsets of S = {1,2,3, ..,15}…

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Q: Consider lists made from L, a, T, e, X, with repetitions allowed. How many 4-lists are there in…

A: Please refer to the image below.

Q: (a) How many arrangements of the letters in COMBINATORICS have no con- secutive vowels? (b) In how…

A:

Q: All Harold's ties are red except for two. All Harold's ties are blue except for two. All Harold's…

A: All my ties are yellow except two. All my ties are blue except two. All my ties are red except two.

Q: Suppose that P(A)=0.47P(A)=0.47, P(C∣A)=0.0115P(C∣A)=0.0115, and P(C′∣A′)=0.006P(C′∣A′)=0.006. Find…

A: The data is shown in the tree diagram itself

Q: A clothing store has a certain shirt in 4 sizes: small, medium, large, and extra-large. If it has 2…

A: Given Information -  The clothing store has shirts in 4 sizes: small, medium, large, and…

Q: Suppose that there are 27 students in discrete mathematics class. Show that the class must have at…

A: Here we solve this question by contradiction.

Q: 2. An experiment, consists of tossing a die and then flipping a coin once if the number on the: die…

A:

Q: Suppose that a survey of 100 advertisers in U.S. News, These Times, and World found the following.…

A:

Q: onsider the following tree Descendent of e, r and n Siblings of d, c, and u Ancestor of s, c and a

A: Given tree is

Q: Use generating functions to find the number of ways tochoose a dozen bagels from three…

A: Consider the provided question, Each variety is present at least 2 times in the dozen bagels, the…

Q: 2. Show that the combination of choosing r items from a set of n items has the same possible…

A: Combination can be defined as the number of ways of merging things disregarding of their orders.  It…

Q: In a group of 6 boys and 4 girls, 4 children are to be selected. In how many ways can they be…

A: The number of ways in which r different items can be selected from n different items, can be given…

Q: In a group of 4 people, is it possible for each person to have exactly 3 friends? Why?

A: Let G be a graph with 4 vertices, one vertex representing each person in the group. Join two…

Q: andomly selected from a

A: we have given a sample of 6 measurements was randomly selected from normally distributed population…

Q: A sporting goods store has two lines of snowboards, two types of bindings, and three types of boots.…

A: Assume 2 snowboards, S1 and S2 2 bindings, B1 and B2 3 boots, b1, b2 and b3

Q: blem No.2: The fixed-price dinner at a restaurant provides the following ices: Appetizer: soup or…

A: *answer:

Q: Show that in a group of people there must be two individuals that have the same number of friends…

A: We make a proof by contradiction and use the pigeonhole principle.

Q: Suppose that every student in a discrete mathematics class of 25 students is a freshman, a…

A:

Q: Draw the tree diagram giving the permutations of {x, y, z, u} objects.

A: Permutation determines the number of possible arrangements in a set when the order of the…

Q: 2) A Chinese restaurant features a lunch special with a choice of wonton soup or spring roll as an…

A: Here there is 2 choices for appetizer i.e. (i)wonton soup…

Q: 1. A restaurant offers a meal consisting of one of the three entrees and one of four desserts at a…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A family has three children. Assuming that it is equally likely that they have a boy or a girl, make…

A: From the given information, there are 3 children and boy and girl are equally likely. a) Tree…

Q: In how many ways can a large retail store select 3 sites on which to build a new store if it has 12…

A: We have to find given combination possible.

Q: An experiment consists of tossing a die and then flipping a coin once if the number on the die is…

A: