If 1/3 of the blocks in set A are red, and 1/4 of the blocks in set B are red, does it follow that set A has more red blocks than set B? Why or why not?

Q: Suppose we want to choose 5 objects, without replacement, from 16 distinct objects. (a) If the order…

A: In this question, we want to find the number of ways if the order of choice is relevant and not.…

Q: Which of the following statements is true regarding the following four sets: A = Infectious diseases…

A:

Q: Suppose we want to choose 4 objects, without replacement, from 18 distinct objects. (a) How many…

A: Permutations and combinations

Q: How many ways are there to choose two subsets A and B of [n] so that A ⊆ B, and |B| is even

A: Using logic of sets and subsets we will solve the problem. Using facts we will find a solution to…

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: Suppose X is a set with 84 elements that is partitioned into four subsets: X1, X2, X3, and X4. If X1…

A: Given total number of elements = 84 Let  number of elements in X4 be a As X1 has twice as many…

Q: Consider a bag containing five red marbles, two green ones, one transparent one, five yellow ones,…

A:

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: Determine whether the set S = {1, x², 3 + x²} spans P2. O S spans P2. O s does not span P2.

A: Consider the given set S. S=1,x2,3+x2 Now, make the matrix from the given set. 103000011

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

A:

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

A:

Q: Suppose we want to choose 7 objects, without replacement, from 9 distinct objects. (a) How many ways…

A:

Q: What is the minimum number of students required in a discrete mathematics class to be sure that at…

A: We solve the given problem in next step.

Q: Suppose that in a particular class of 200 students, 31 of them plan on majoring in math, 27 plan on…

A:

Q: a. Suppose that Natasha, Monim and Rehan a

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

Q: Describe the possible inputs of S(n) using words.

A: The possible inputs for S are the numbers on a dice

Q: Consider a bag containing six red marbles, two green ones, one transparent one, four yellow ones,…

A: We have 6 Red marbles2 Green marbles1 transparent marble4 yellow marbles2 orange marblesTotal no of…

Q: The number of ways in which a committee of 6 members can be selected from 6 male and 4 female…

A: We have given that 6 male and 4 female parliamentarians. And we need to select 6 members for…

Q: A shipment of 9 television sets includes three that are defective. In how many ways can a hotel…

A:

Q: DAREST OFFELS 5 MAIN coveses 3 TEs Of DESSETS i4 KINS Of newes-IN How MANY WAMS CAN A CUSTOMER oeDEe…

A: Given: Main course = 5 Desserts = 3 Drinks =4 We select one from each category.  Here we use…

Q: A Stdent council Committee nas II Members 6 Gins and5 bays. A a) what is the total nUmber of ways…

A: It is given that the committee has 11 members; 6 girls and 5 boys. The questions are about different…

Q: Find the number m of ways that a class X with ten students can be partitioned into four teams A1,…

A:

Q: In a school of 450 students, 120 students are in DECA, 270 students are on sports teams, and 75…

A:

Q: C & J Realty has received 12 inquiries from prospective home buyers. In how many ways can the…

A: Given: Each agent handles 4 inquiries and there are 12 inquiries.

Q: Show that if any 14 numbers are selected from the set S = {1,2, 3, ..., 25}, %3D there are at least…

A: Given statement is If any 14 numbers are selected from the set S = {1,2,3,...,25}, there are at…

Q: A shipment of 10 television sets includes three thatare defective. In how many ways can a hotel…

A: Consider that the load is of 10 televisions and three of these are defective. Also, consider that…

Q: Suppose that A = {2, 4, 6}, B = {2, 6}, C = {4, 6}, and D = {4, 6, 8}. Determine which of these sets…

A: Given sets are  A = {2, 4, 6}, B = {2, 6},  C = {4, 6}, and D = {4, 6, 8}.  Definition of subset is…

Q: Which of the following statements is true regarding the following four sets: A = Infectious diseases…

A: Diseases given in set B belongs to infectious diseases i.e. set A. Diseases given in set C belongs…

Q: f a family has 5 children, in how many different birth orders could the parents have a 3-boy, 2-girl…

A: Given, No of children=5  how many different birth orders could the parents have a 3-boy, 2-girl…

Q: At a blood drive, 4 donors with type 0+ blood, 3 donors with type A+ blood, and 3 donors with type…

A:

Q: suppose we color the squares of a 4×4 grid blue or red.Using inclusion-exclusion, how many ways can…

A:

Q: How many subsets of set S = {1, 2, 3, 4, 6} do not contain odd numbers? Use bijection to solve this…

A: Solution S={1,2,3,4,6}

Q: Consider all subsets of size four of the set {1, 2, ..., 20}. How many of them have a nonempty…

A: Given: It is given that by considering that all the subsets of size four of the set{1,2,....20} The…

Q: In how many ways can a television director sched-ule a sponsor’s six different commercials during…

A: From provided information, a television director schedule a sponsor’s six different commercials…

Q: Suppose we want to choose 5 objects, without replacement, from 17 distinct objects. (a) If the order…

A: We will the number of ways in both conditions as following.

Q: Suppose we want to choose 6 objects, without replacement, from 9 distinct objects. (a) If the order…

A: Solve

Q: Give the inclusion – exclusion formula for four sets where A U B U C U D in terms of sizes of in

A:

Q: From a group of 4 men and 5 women, how many committees of size 3 are possible a) with no…

A: Since , there are a group of 4 men and 5 women. Therefore , the total number of people=n=4 men + 5…

Q: Suppose that two letters are to be selected from A, B, C, D, and E and arranged in order. How many…

A: Given: Two letters are to be selected from A, B, C, D, and E and arranged in order. There are in…

Q: A shipment of 14 television sets includes three that are defective. In how many ways can a hotel…

A: As per our guidelines we suppose to do only one question1.GivenNo.of television =14No.of defective…

Q: Each of the 20 students learn exactly two of the three languages: English, French and German. 80% of…

A: Total number of students= 20 Number of students learn English= 80% of 20 = (80÷100)*20= 16 Number of…

Q: Prove that among any group of people, there are always two people with the same number of friends…

A:

Q: Assume a boat sends signals by arranging six colored flags on a vertical flagpole. If there are two…

A: There are six colored flags on a vertical flagpole out of which two are red and four are green.

Q: Blood types are classified on the basis of the presence of three antigens, A, B, and Rh. If you were…

A:

Q: 3. Suppose at a small college, 30% of the students are freshmen, and 60% of the students live on…

A: Given, The probability that the students are freshmen is pf=0.30 The probability that the students…

Q: Consider a bag containing six red marbles, two green ones, one transparent one, seven yellow ones,…

A: Use combination theorem:

Q: How many subsets of size 3 can one find in a set of size 5?

A: Hey, since there are multiple sub parts posted, we will answer the first question. If you want any…

Q: Suppose XX is a set with 144 elements that is partitioned into four subsets: X1, X2, X3, and X4. If…

A: To determine the number of elements in each subset in the partition.

Q: Consider a bag containing seven red marbles, two green ones, one transparent one, seven yellow ones,…

A: Determine the number of sets of five marbles include at most one of the red ones but no yellow ones.…

Q: A given large basket can contain 70 pieces of fruit consisting of apples, bananas, kiwifruit,…

A: