4. Suppose there are three sets A, B,C. (a) List all the possibilities for where an element could be. For exam- ple, an element could belong to A and B but not C. (Label the possibilities 1 through however many there are) (b) Draw a generic Venn diagram for three sets, and show where each of your labeled possibilities will be located.

Q: Why the following figure is not a Venn Diagram for 4 sets?

A:

Q: 6. In a veterinary waiting room, there were a total of 12 individuals, 8 of whom brought dogs, 5…

A: Given: Total individuals = 12 Number of individuals that brought dogs = 8 Number of individuals that…

Q: An architect designing a parking lot has a row 62.0 m wide to divide into spaces for compact cars…

A: We need to formulate a system of linear equations using the scenario. We also need to solve the…

Q: Let S be a set with |S|=6 . In how many ways can we partition the set S into three non-empty parts?

A: Answer:   3   Here    |S| = 6 So there are total 11 possible partitions which are 6 5+1 4+2 3+3…

Q: Only one of the following 5 statement is correct, choose the correct one Select one: O A. |A - B =…

A: Option (C) is correct.

Q: Construct a Venn diagram illustrating the sets below. U={1, 2, 3, 4, 5, 6, 7, 8, 9} W={1, 4, 5, 6,…

A: first we will find the intersection of each then find the intersection of the two then draw

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

A: Permutations and combinations

Q: If the brunch consists of 1 drink, 1 muffin, and 1 type of fruit, then the number of possible…

A: As per honor code, we are entitled to solve only 1 question at a time so I am providing the same.…

Q: Refer to the following Venn diagram, and list the points that belong to each set. (Enter your answer…

A:

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

A: Solve the above question.

Q: Suppose there were 600 nurses graduating this year.  Assume that 400 were registered nurses (RN),…

A: Need to complete venn diagram

Q: Suppose that A = (3, 7,1 6}, B = (3, 16}, C= (7, 16}, and D = {7,8, 1 6}. Determine which of these…

A: Set A is said to be a subset of Set B if all the elements of Set A are also present in Set B. In…

Q: 2. Consider the collections C = {penny, nickel, dime, quarter} D = {penny, nickel, nickel, dime,…

A: (a) The number of elements in collection C is 4 and the number of elements in the collection D are…

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

A:

Q: In a Venn diagram, the overlap of two circles represents the difference between the numbers of…

A: Venn diagram

Q: Show that if one event A is contained in another event B (i.e., A is a subset of B), then P(A) <…

A:

Q: 11 - Which of the following statement regarding sets is false I. AnA=A AUA = A A- (Bn C) = (A – B) U…

A: Union and intersection apply on same set gives the set itself

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

A:

Q: If A and B are both finite sets and A has n elements and B has m elements, what’s the fewest number…

A:

Q: Consider the set X = {A,B, C, D,E, F, G} case 1 How many 4-letter lists from X (with repetition…

A: A set X is given. We have to find the number of 4 - letter lists possible from X if certain…

Q: The 61 students in a classical music lecture class were polled, with the results that 35 like…

A:

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: Construct a Venn diagram illustrating the sets below. U={1, 2, 3, 4, 5, 6, 7, 8} Y={1,4, 6}…

A: Given U=1 , 2 , 3 , 4 , 4,  5 , 6 , 7 , 8  Y=1, 4 , 6Z=2 , 4 , 5 , 6clearly Y∩Z=  4

Q: Use the method of intersection of sets to compute the following. (a) GCD(12,16,8) and LCM(12,16,8)…

A:

Q: Let A be the set of students in your math class, and B is the set of students at Indiana State…

A:

Q: 5. If A, B, C are finite sets and |A| denotes the number of elements in A, show that |A ∪ B ∪ C| =…

A:

Q: Suppose S is a set having n elements and T is a set having m elements. Which of the following claim…

A: Suppose S is set having n elements and T is a set having m elements. That is n&gt;m More precisely,…

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: In the class of 50 students, 24 like Arabic, 21 like English and 18 like Mathematics 6 like Arabic…

A:

Q: in a venn diagram with two overlapping sets there are

A: Let define the two events A and B.

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: Refer to the following Venn diagram, and list the points that belong to each set. (Enter your answer…

A: A Venn diagram is given as follows.

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

A:

Q: Draw the Hasse diagram of the given set of A = ({3, 4, 12, 24, 48, 72},/)

A:

Q: True or false 1.The intersection of two sets is the set of all the equal elements that belong to…

A: Since you have not mentioned the questions to be solved, so we are providing you solutions for first…

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: 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: Construct a Venn Diagram illustrating the given sets. A = {4,5,6,8}. B= {!,2,4,5, 6,7}, C={3,4,73…

A:

Q: If X and Y are two sets such that X has 30 elements and X ∪ Y has 50 elements and X ∩ Y has 8…

A: We are given: X has 30 elements and X ∪ Y has 50 elements and X ∩ Y has 8 elements We need to find:…

Q: A math tutor working with a small study group has classified students in the group by whether or not…

A:

Q: Draw a diagram out of these sets

A:

Q: Refer to the following Venn diagram, and list the points that belong to each set. (Enter your answer…

A: A. The universal set U is defined as, U = {t, x, w, v, r, y, u, s, z}.

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 &amp; C. There are in total, 100 students who have…

Q: 2. Draw a Venn diagram for the set AU(BnC).

A: We first draw U, A, B, C

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: 12 patients have fever, 6 patients have colds, 15 patients have headache.  1 patient has all three…

A:

Q: Create a Venn Diagram to represent the sets A = {b, c, d, e} and B = {a, b, f, g}.

A: The given sets are:

Q: 5. Consider the generic Venn diagram for three sets. (a) Add one figure showing a fourth set D. (b)…

A: The generic Venn diagram is: