11-14: Let A = {-3,2} and B = {-2,0,1}. 11. How many elements does A x B have? 12. How many proper subsets does A x B have?

Q: 4. How many subsets are there of {1, 2, 3, 4, 5}? How many contain at least three elements? How many…

A: Given set is S=1,2,3,4,5 Since we know that, if a set contains n elements, then total number of…

Q: Assume that the set S has 7 elements. How many subsets of S have at most 3 elements?

A: Given information- We have given that the set S has 7 elements. We have to find the number of subset…

Q: A company sells regular hamburgers as well as a larger burger. Either type can include cheese,…

A: Introduction: According to the combination rule, if r distinct items are to be chosen from n items…

Q: A restaurant offers a special pizza with any 5 toppings. If the restaurant has 13 toppings from…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

Q: Q/22 A college planning committee consist of 3 freshmen, 4 sophomores, 5 juniors, and 2 seniors.…

A:

Q: A committee of 8 members is to be chosen from 9 teachers and 4 students. In Example 61. how many…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: 3. Using the digits 1, 2, 3 and 4, how many 4 digit numbers can be formed if a) The first digit must…

A: here use counting principle  for combination nr =  n! (n- r)! × r!

Q: How many subsets does the set  F = {4, 5, 6, 7, 8}  have?

A: Given : F = 4, 5, 6, 7, 8

Q: Given nine sets {5,15,16,18}, {2,19,21},{1,9,14,16},{1,6,20}, {3,16,21},{5,14,20,21},…

A: given : {5,15,16,18}, {2,19,21},{1,9,14,16},{1,6,20}, {3,16,21},{5,14,20,21},…

Q: 9. How many ordered sets of 3 even numbers are there that will add up to 60? How many different ways…

A: Combinations: The combination is a mathematical method that determines the number of possible…

Q: 5. How many strings of 3 characters are there, such that every character is a lower case letter, the…

A: If there are a ways of doing something and b ways of doing another thing, then there are a · b ways…

Q: a) If there are no two donuts of the same variety b) If there is no restriction c) If there must be…

A:

Q: XI In a group of 11 boys and 9 girls, 5 are to be selected. In how many ways can they be selected…

A: According to the answering guidelines, we can answer only one question at a time and the rest can be…

Q: 6. A group of college students consists of 5 seniors and 6 juniors. (a) How many teams of 3 can be…

A: (a) In the group there are total 5+6 = 11 students.      From them, we need to chose 3 to form the…

Q: The digits 0, 1, 2, 3, 4, 5, 6 and 7 are used to make 4 digit codes. (a) How many unique codes are…

A: As per Bartleby guideline, if more than three subparts are asked only first three to be answered…

Q: 4. A bakery sells 12 varieties of cupcakes. Assume that it has an unlimited supply of each variety.…

A: Solution..

Q: Computer programming team has 13 members. A.) How many ways can a group of 5 can be chosen to work…

A: Given that Computer programming team has 13 members . We have to find the number of ways that  can a…

Q: Suppose there were 500 nurses graduating this year. Assume that 400 were registered nurses (RN), and…

A: Let RN be the registered nurses, and H be the nurses who plan to work in hospital. From the…

Q: How many different ways can you arrange 2 letters from a set of 3 letters {T, S, U} such that…

A:

Q: 4. How many four digits numbers can be formed with the 10 digits 0, 1, 2, 3......9 a. if repetitions…

A:

Q: 10. Suppose there are 10 women and 8 men who teach at a private school. Please simplify your answers…

A: a) There are two cases for the given situation. Case 1.  2 teachers are women and 1 is man. Case 2.…

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: Suppose we want to choose 2 colors without replacement, from the 4 colors red,blue,green, and…

A: a.Find the number of ways in which 2 colours can be chosen among the 4 colours without giving…

Q: A club has seven members. Three are to be chosen as a group to a national meeting. A) If the club…

A: Given that, There are Seven members in a club who need to participate in a national meeting in…

Q: Crisha has 5 different colored beads including purple and pink. In how many ways can she arrange the…

A: a). It is given that there are 5 different colored beads. Since there is no restriction on the…

Q: 1. Let, a, = 3, az = 4 and for n 3, a, = 2a,-1+ an-2, express a, in terms of n.

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Q: How many elements are in the set {2,2,2,2}

A: We have to find number of elements

Q: Suppose we want to choose 5 objects, without replacement, from 8 distinct objects. (a) If the order…

A:

Q: Some nonempty set has 211, at most two-element subsets. how many elements does this set have?

A: The number of ways, to select r number of different objects, from n number of different objects, can…

Q: 2. Let, A = { 1,2,3,4 }, B = { a,b,c,d }, C = { x,y,z }, R= { (1,a),(2,d),(3,d),(3,b),(3,d) },S = {…

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Q: 5. Four married couples have bought 8 seats in the same row for a concert. In how many. different…

A: a). The number of possible permutations of n object is n!. So, the number of permutation for 8…

Q: 3.51. How many landline telephone numbers are there with 7 digits such that: (a) the first digit is…

A: Permutation is the possible number of observations which are arranged in a set with possible…

Q: 20 The set [20] contains = = 15504 five-element subsets. How many of them contain more odd elements…

A: There are 15504 five element subsets. The set of 20 numbers contains 10 odd and 10 even numbers. If…

Q: onsider the 4-lists taken from {1,2,3}. For example, (1,2,1,3).  How many are there in which each…

A:

Q: A host invites n couples to a party. She wants to ask a subset of the 2n guests to give a speech,…

A: Lets there be n number of couple. We will choose any number of couple and as there are two members…

Q: A jar is to be filled with 100 jelly beans. There are five varieties of beans to choose from and we…

A: As per given by the question,  The total number of jelly beans that is filled in the jar is 100.…

Q: A group of families that have 3 kids are in a group. What family that has three girls, given the…

A: Topic = Probability

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

A: Given set  containing 3 element

Q: How many elements are in the set {0, {0}}?

A:

Q: 6. Determine all the possible topologies X = {1, 2, 3, 4, 5, a, b, c² 3 sex

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Q: Assume that X={A,F,G,D,C} and Y={6,1,4,2,3}. A code consists of 4 different symbols selected from X…

A: X={A,F,G,D,C} Y={6,1,4,2,3}. Selwct 4 from x without replacementfollowed by 2 from y with…

Q: Assume that X={A,F,H,D,C} and Y={5,9,4,2,3}. A code consists of 4 different symbols selected from X…

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Q: A small College, 260 mathematics majors are surveyed about 3 courses: finite math (F), calculus (C),…

A:

Q: Let A = {8, 9, 10, 11, 12, 14, 15, 16}. How many subsets does A have? How many proper subsets does…

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Q: 8. Given the set B={2,3,4} such that (a,b) are the two numbers having the same parity therefore R2…

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Q: Computer programming team has 13 members. B.) Suppose 7 are women and 6 are men. How many groups of…

A: Given: A computer programming team has 13 members. 1) Given: 7 are women and 6 are men and group of…

Q: You are burning a CD for your assignments. You have assignments of 15 different However, you want to…

A: Determine the number of orders that can be put 7 of the 15 assignments onto the CD. The number of…

Q: Suppose that every person in a 26-member student organization is either a first- year, second-year…

A: Given that: Number of students in the organization = 26 Number of categories = 3

Q: You have 15 white balls arranged in a triangular arrangement. 7 balls are painted blue and 8 green.…

A: