5. Consider the generic Venn diagram for three sets. (a) Add one figure showing a fourth set D. (b) Does your figure represent all possibilities for where an element could be? If it does, identify a region correspondign to every possibility. Otherwise, identify the possibilities that cannot be represented.

Q: 2. Finite subsets of Rd are closed. Gap to fill in

A: Given statement is Finite subsets of ℝd are closed.

Q: Make sure to include: (1) The universe set X. (2) The excluded subsets Ai. (3) The method used to…

A: Given that there for 6 people sitting around a circular table to pick from 12 entrees so that noone…

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

A: Permutations and combinations

Q: The 13 colleges of interest to a high school senior include 4 that are expensive (tuition more than…

A:

Q: .State all the subsets that apply to /2. Include an explanation supporting why v2 belongs in each…

A: Consider the given expression, 2 the value of the given expression will be, 2=1.4142135624 it can be…

Q: a. How many students prefer Canvas only? b. How many students prefer at most one platform?

A: We shall find out the answer of the given questions From the table provided.

Q: Draw a Venn diagram with three overlapping circles for the three given sets. Label the contents of…

A: Venn Diagram for the problem involves the use of 3 overlapping circles for the sets So Venn diagram…

Q: 5. Give an example (by words) for a collection of objects which is not well defined

A: Given, We have to write an example for a collection of objects which is not well defined.

Q: How many subsets with an odd number of elements does a set with 12 elements have?

A: Given that a set contains 12 elements. We need to calculate the total number of subset with an odd…

Q: In a sample of 50 car users, 15 are using Toyota, 20 are using BMW, 10 are using MB and the rest…

A: Pie chart: Pie chart is a statistical graph which explains the relative frequencies of different…

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: There are 8 Canadian, 7 German, 6 Chinese, 9 French and 9 Russian students in a class. What is the…

A: Given Data: No. of Canadian=8 No. of German=7 No. of Chinese=6 No. of French=9 No. of Russian=9

Q: 1. Among the 90 kids in Barangay San Jose, 63 like eating in Jollibee while 42 like eating in…

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

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

A:

Q: Suppose a car you want to buy has five choices for inte-rior colors, three types of radios, three…

A: Given Data: The number of choices for interior colours is: N1=5 The number of choices for radios is:…

Q: Suppose we want to choose 6 objects, without replacement, from 10 distinct objects. (a) How many…

A: We can find answer to both the question as below

Q: 1. Out of 120 people, it was found that 50 like pasta, 42 like pizza, 39 like burger , 21 like pasta…

A:

Q: In a school, 100 students have access to three software packages A, B and C.…

A: A Venn diagram is nothing but a pictorial representation of sets using closed curves or circles. It…

Q: The minimum number of cards to be dealt from an arbitrarily shuffled deck of 52 cards to guarantee…

A:

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

A:

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 collection of eight blue blocks and seven red blocks, all with distinct shapes, are to be lined up…

A: When the blocks are lined up, their position can be marked up as   (1) (2) (3). . . . . . . (15)  As…

Q: Suppose A is a set with 6 elements. Answer the following questions:   1. How many subsets of…

A: In a set the order does not matter. So we can use the combination method. 1) We can pick 4 elements…

Q: Use the pigeonhole principle to prove the following statement. For any gathering of six people,…

A: Two possibilities=>( i )Mutual Friend                                  (ii)stranger  (let K be…

Q: The 12 colleges of interest to a high school senior include 8 that are expensive​ (tuition more…

A: It is given that, 12 colleges of interest to a high school senior include 8 that are expensive​…

Q: A. How many 3-digit numbers can be formed from the set of decimal digits if the numbers formed are…

A: Answer is given below:

Q: Find a set of smallest possible size that has both {3,4,7,8} and {1,5,6,9,10} as subsets.

A:

Q: Suppose we want to choose 5 objects, without replacement, from 18 distinct objects. a) If the order…

A: Given,Total no.of distinct objects=18

Q: Explain why in a drawer containing only two different colors of socks one must draw only three socks…

A:

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: In a school, 100 students have access to three software packages, A, B and C 28 did not use any…

A: As per Bartleby guidelines for more than three subparts in a question only first three should be…

Q: Is it possible for two nonempty sets to have the same intersec-tion and union? If so, give an…

A: When two sets A and B overlap that is A = B, then the intersection and union of the  sets A and B…

Q: 2. In a survey of 60 people it is found that 25 like to drink milk, 26 coffee and 26 tea. Also 9…

A:

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: 3. Find the number of subsets for set containing 3 elements.

A: Given set  containing 3 element

Q: Suppose that set A has 17 elements, set B has 10 elements, and their union has 18 elements. If the…

A:

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

A: As we have five grades: k=5 And the number of students: r=9 And we have to calculate: Nk=r N5=9

Q: the collection of the five worst U.S Presidents well defined and a set?

A:

Q: Suppose we want to choose 5 objects, without replacement, from 15 distinct objects.

A: Given data: The total numbers of objects are n=15. The numbers of objects choose is r=5. (a) Write…

Q: In a school, 100 students have access to three software packages, A, B and C 28 did not use any…

A: Given: There are three software packages A, B & C. There are in total, 100 students who have…

Q: Suppose that in a particular Finite course, 4/7 of student plan on majoring in math, 25/42 plan on…

A: Given Information- 4/7 of student plan on majoring in Math, 25/42 plan on majoring in…

Q: Solve the following problems using a Venn Diagram. 2. In a certain university 2,191 students are…

A: First, let's draw a Venn Diagram using the given details.

Q: Suppose A is a set with 7 elements. Answer the following questions: 1. How many subsets of exactly…

A: Given, A is a set with 7 elements In a set the order doesnot matter so here we use combinations.

Q: i. How many three-digit phone prefixes that are used to represent a particular geographic area (such…

A: here, AS PER GUIDELINES  I HAVE CALCUALTED FIRST MAIN  QUESTION  HERE USE COMBINATION , TOTAL…

Q: 10. If a set has 255 proper subsets, how many elements are there? Why?

A:

Q: (1point) How many elements are in the union of four sets if each of the sets has 99 elements, each…

A: To find: The number of elements are in the union of four sets if each of the sets has 99 elements,…