1 A class of 40 students was each required having three textbooks in each of Economics, Mathematics. It was revealed that 20 had Economics books, 24 had Geography books and 22 had Mathematics books. 10 had Economics and Geography books, 12 Mathematics books and 16 had two of the three books. If every student had at least one of the three books. Find how Geography and had Economics and many students had: All three books? Only Geography and Mathematics books? meration* is defined on the set of

Q: 2. In a certain university 2,191 students are enrolled in its College of Arts and Sciences. 980 are…

A:

Q: Suppose there is a set of 8 candies. In how many ways, 4 candies can be selected from this set…

A: NOTE-AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY PLZ RESUBMIT OTHER QUESTION AGAIN Here…

Q: 2. a. List all 3-combinations for the set {x1, x2, x3, X4, Xs}. Deduce the value of (,). b. List all…

A:

Q: railway company installed two sets of 50 treated with creosate by two Burma ties each. The two sets…

A:

Q: Assume that there are 3 pairs of black socks (çorap), 1 pair of pink socks, and 2 pairs of blue…

A:

Q: 5. Among a set of 6 red ball and 5 green balls, how many selections of 4 balls can be made such that…

A:

Q: omputer programming team has 9 members. )How many ways can a group of five be chosen to work on a…

A:

Q: Suppose a set of 8 numbers are selected from the set: {1,2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}…

A:

Q: The grades of students in a Finite Mathematics course at a certain university are determined by…

A:

Q: Suppose there seven people at a party. Is it possible that everyone at the party knows exactly three…

A: It is not possible. Imagine constructing an acquaintance graph in which each of the 7 people are…

Q: There are 45 different time periods during which each class at a university can be scheduled. If…

A: to solve the given question, we shall use the Pigeonhole principle. Pigeonhole Principle: If k+1 or…

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

A: The five marbles(none of them are red or green) to be selected from a bag containing 5…

Q: same

A:

Q: Suppose Kendra Gallegos has appointments with 5potential customers. Kendra will be ecstatic if all 5…

A: Given that Kendra Gallegos has appointments with 5potential customers. And Kendra will be ecstatic…

Q: eight are yellow. If five balls must be drawn from the box, in how many ways is this possible if 4.…

A: Given box contains 15 balls. Green balls = 7 Yellow balls = 8 Five balls are drawn from the box.

Q: 8. Show that the set (0, 1) – {1/2, 1/3, 1/4, -..} is uncountable.

A:

Q: A sonnet is a 14-line poem in which certain rhymingpatterns are followed. The writer Raymond…

A: a). How many sonnets can be created from the 10 in the book? There are 10 possibilities for each 14…

Q: The exam has 14 questions, and the total number of marks for the exam is 100. In how many ways can…

A: Let us assume that: Pi=The point assigned to the ith question.   Given that:  Each question must…

Q: Assume that A={A,B,C} and B={5,4,1,9,6} A code consists of 2 different symbols selected from X…

A: Given: Assuming X={A,B,C} and Y={5,4,1,9,6}. A code consists of 2 different symbols selected from X…

Q: A1,...,A13 are thirteen different subsets of {1,2,3,4,5,6,7,8,9,10}. If each Aj has 6 elements for…

A: We are given that A1, ... , A13 are thirteen different subsets of {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.…

Q: (a) A pizza parlor has a choice of 12 toppings for its pizzas. From these 12 toppings, how many…

A: a)GivenNo.of toppings for pizza=12

Q: There are 320 martians traveling together in a spaceship and 128 of them are Male. (*Note: There are…

A: Given Information: Number of Martians is 320 Out of which 128 are male Of the male Martians 56 have…

Q: (9) Number of ways to scoop two unordered pairs from a set of 10 different elements. Assume no…

A: Let there are n distinct elements a1,a2,a3, . . . . . . . an And two set A and B, they should be…

Q: Let [A1, A2. [B1, B2, C1, C2 be 3 married couples who attended a concert in Windhoek. a) In how many…

A:

Q: 8 athletes are entered in a race. How many possible ways can they finish (assuming no ties are…

A:

Q: How many strings of ten lowercase letters from the English alphabet contain the lette consecutive…

A: String contains total 10 lowercase letters

Q: A set contains 7 distinct elements. How many subsets can be formed from the elements of S that…

A: Use combination formula

Q: Use pigeonhole principle 1. How many numbers must be selected from the set {1, 3, 5, 7, 9, 11, 13,…

A:

Q: so the S and T remain next to each other (though not necessarily in that order, so ST or TS are both…

A: Consider as S and T as one letter. So now the total number of English alphabet which needed to…

Q: An order for an iPad Pro can specify any one of two sizes (iPad Pro 11‑inch, iPad Pro 12.9‑inch),…

A: Given data: An order for an iPad Pro can specify any one of two sizes (iPad Pro 11‑inch, iPad Pro…

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

A:

Q: An Uber XL can hold between 1 and 4 people. One September evening, 5 distinct and random people need…

A: According to the given information, An uber XL can hold between 1 and 4 people. On September evening…

Q: 1. How many ways can you choose 4 numbers from the set p = {4, 6, 8, 10, 12} or 3 numbers from the…

A:

Q: Construct a Venn Diagram for the scenario. Suppose that a total of 208 students are enrolled in a…

A: Topic:- Sets theory

Q: How many subsets are there of the set (1, 2, 3, 4, 5, 6, 7, 8, 9, 10} which contain at least three…

A:

Q: Bayes' rule can be used to identify and filter spam emails and text messages.In this collection, 747…

A: Given DataP(Spam) = 0.1340P(Not spam) = 1- P(spam) = 1 - 0.1340 = 0.866P(Free) = 0.0475P(Free and…

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: A set has 9 elements. How many subsets of S are there with at most 2 elements?

A: Given,            A set has 9 elements. Subsets of S are there with at most 2 elements.

Q: 23 In a plane of 160 passengers, the airline has provided 48 meals of chicken rice, 78 meals of…

A: A Venn diagram is an illustration that uses circles to show the relationships among things or finite…

Q: 5 can be formed if the alphabet (set of avail

A: To find: Number of strings of length 5 that can be formed with {a,b,c} with last character not as b.

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: In a drawer, there are eight blue socks, six green socks, and twelve black socks. What is the…

A:

Q: Let S={1,2,3,4,5,6} How many subsets are there of cardinality 4?

A:

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

A:

Q: {r, e, v, o, I, u, t, i, o, n}_ _{t, o, I, o, v, e, r, u, i, n} {r, e, v, o, I, u, t, i, o, n} V {t,…

A: Here use definition of proper subset

Q: ine data encounters are to be assigned to three jobs requiring 2, 3, and 4 encoders, respectively.…

A: Given that  Number of data encounters (n) = 9  Number of jobs  = 3   We know that  By combinations…

Q: assume that there 6 fire stations that need new chiefs and 13 qualified candidates. In how many…

A: There are total 13 qualified candidates.

Q: Find the number of ways to select 12 objects with repetition from 5 distinct types of objects with…

A:

Q: We are making 5-letter words from the set of letters a, b, c, d, e, f..., in such a way that we have…

A: Here we will use permutation /arrangement and combination / selection  Number of way r object can be…