2. Write out the power set of the following set: {1, 2, 3, 4).

Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

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Q: Let A = {small, medium, large}, B = {yellow, magenta), and C = {triangle, round}. List the elements…

A: This question is about relation

Q: If A is the set of all whole numbers less than 20 that are divisible by, 4, and B is the set of all…

A: A∪B is the union of set A and set B. This set contains all the elements in set A or set B. The Venn…

Q: An ice cream shop provides the following types of add-ons: hot fudge, caramel, cherry, Reddi-whip,…

A: Consider the  add-ons ice-cream shop provides: Hot fudge,caramel,cherry,redid-whip,chopped…

Q: Use the given information to find n(A x B) and n(B x A). n(A) = 33 and n(B) = 4 Find the number of…

A: If we have two sets A, B such that  the cardinality of A =m and, the cardinality of B =n then, the…

Q: Let A = {1, 3, 5, 7, 9}, B = {3, 6, 9}, and C = {2, 4, 6, 8}. Find each of the following. (Express…

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

Q: Assume that there are 55 students: 28 who enjoy tennis, and 14 who enjoy neither tennis nor…

A:

Q: In how many ways can we compose a word of 3 letters from the set {X, Y, Z, F, S} if repetition is…

A: Given, Letter set  = {X, Y, Z, F, S}  words should be 3 letters,

Q: How many numbers must be selected from the set {2,4,6,8,10,12,14,16,18,20} to guarantee that at…

A: Use the principle of inclusion and exclusion to solve this problem, as in next step.

Q: Assume a club N with six members: N = {Andy, Bill, Cathy, David, Evelyn, Erik} Count the different…

A: Finding the number of elements in a set or the total number of possible outcomes in an event is…

Q: How many subsets are there of the set N = {9}?

A: Given,          The set is N=9We know that,         The number of subsets of a given set is 2n ;…

Q: Let  U = {7, 8, 9, 10, 11, 12, 13, 14, 15, 16},   A = {7, 9, 11, 13, 15},   B = {8, 10, 12, 14,…

A: Given the universal set is U=7, 8, 9, 10, 11, 12, 13, 14, 15, 16. The sets A, B and C are as…

Q: 2. In how many ways can three numbers be selected from the numbers 1, 2, ... , 300 such that their…

A: This problem is solved using the concept of permutation and combination. please find step by step…

Q: A bag contains two red marbles, two green ones, one lavender one, four yellows, and three orange…

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Q: How many different Kriyas may be created with only 5 of these poses?

A: In yoga, a Kriya is a complete set of specific poses and breathing techniques that are combined to…

Q: A collector of toy vehicles has 12 hot rod cars, 10 pickup trucks, 9 classic cars, and 1 big rig…

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Q: 1. How many 10-element multisets can be made from the symbols {1,2,3,4}?

A: Given Elements {1,2,3,4}

Q: set N = {9, 43, 66}?

A: Given that  Set N = {9, 43, 66}   We know that  The subsets possible are null set , subset of size…

Q: How many people only cycled if 1978 took public transit, 1494 drove, 818 cycled, 731 took public…

A:

Q: Suppose we have a set A={1, 2, 3, 4, 5, 6}. What is the partition of A into three parts? Make sure…

A: We can partition of set A as below

Q: A multiset is similar to a set, but can contain an element more than once. How many multisets can we…

A: You can identify every multiset with an ordered pair of usual sets, call them high and low. If you…

Q: • Suppose that a coach must select 5 players to play on a basketball team. • The coach has 12…

A: Given that there are 3 players who can play center. So we can choose center in 3 ways only.  When…

Q: A standard deck of cards has 52 cards. There are four suits: ♥, ♦, ♣, ♠. For each suit, there are…

A: Conditions:• The first group has three cards of the same denomination.• The second group has three…

Q: A class has 30 students. In how many different ways can four students form a group for an activity (…

A: Determine the number of ways in which four student’s forma group for an activity. The number of ways…

Q: Let A₁ = {1, 2, 3, 4, 5, 6}, A2 = {7, 8, 9, 10, 11, 12, 13} and {14, 15, 16, 17, 18, 19}. A3 = How…

A: Let A1=1, 2, 3, 4, 5, 6, A2=7, 8, 9, 10, 11, 12, 13 and A3=14, 15, 16, 17, 18, 19.   To Find: How…

Q: How many subsets are there of the set N = {5, 42}?

A: We ahave to find no. Of subsets.

Q: How many 4-element subsets containing the letter A can be formed from the set {A, B, C, D, E, F, G}?

A:

Q: a = ? b = ? c = ? d = ? e = ?

A:

Q: Let A be a set with 5 elements and B be a set with 8 elements.  How many elements are in A x B?

A: Given that A be a set with 5 elements and B be a set with 8 elements.  Here we have to find out how…

Q: what is M.A.D of the set,  1,1,2,3,3,4,7

A:

Q: How many strings of 12 ternary digits (0, 1, or 2) are there that contain exactly hree Os, five 1s,…

A: Strings of 12 ternary digits, 3 possibilities for each digit in the string, gives a total of 3^12 =…

Q: Let B = {dog, house, cheese, book, car, phone, egg, square}. How many subsets does B have? How many…

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Q: A club N with four members is shown below. N = {Aaron, Brad, Cindy, Dennis), abbreviated as N = {A,…

A: .

Q: How many subsets are there of the set N = {6, 49}?

A: