Let {1,2,3,4,5}A,{1,3,5,7,9}B,{ |0 11}Cxxisanevennaturalnumberbetweenand and {1,2,3,4,5,6,7,8,9,10}Ua)Find AB.b)Find AB.c)Find Cd)How many subsets does A have

Q: . How many 4-membered subsets can be chosen from {1, 2, 3, 4, 5} if repetitions are allowed?…

A: Number of ways to choose r numbers from a n -set is nCr

Q: . Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} be the universal set and A = {0, 3, 4, 5}, B = {1, 3,…

A:

Q: Which relationship (subset, intersect, disjoint, equivalent) exists between these sets? {counting…

A: (a) A = {1, 2, 3} B = {Counting numbers less than 4} = {1, 2, 3} Hence set A is equivalent to set B.…

Q: Consider all subsets of size four of the set (1,2,3...20) how many of these have a nonempty…

A: Solution :-

Q: 12. Let B be a subset of A. Let |A| = n and |B| = k. What is the number of subsets of A whose…

A: Given B⊂A. A=n and B=k Now if any subset C of A has 3 elements in intersection with B then C≥3 For…

Q: 25. How many elements does each of these sets have where a and b are distinct elements? a) P({a,b,…

A:

Q: 3. Given S: (1, 2, 3, 4, 5, 6, 7, 8, 9), A = {2, 4, 6, 8), B = {1, 3, 4, 5, 7) and C = {7, 8), find:…

A:

Q: If B= {1,2,3}, then A={1} is a subset of B. In symbols, A ⊂ B If C= {1,4} then C ⊄ B

A: If B= 1,2,3, then A=1 is a subset of B. In symbols, A⊂BIf C=1,4 then C⊄ B

Q: B. Let A = {7,8,9}, {1,2 determine all the elements of: 1. AUD 2. (DOC) U An B ,4,5,6}, {2, 4, 6},…

A: The provided information is as follows:Sets are as .The universal set is

Q: How many proper subsets are there in the set {L, M, N, O, P}?

A: A subset of a set is a collection of elements that are chosen from the original set.  the set…

Q: Find the number of elements in each of the following sets. a) A'nB b) An B c) (AUB)' = = = 100

A: here Ven diagram is given  according to diagram  we have to answers the number of elements for the…

Q: exactly how many subsets does set B={1,2,3,4} have

A: The given set is

Q: Prove that the set X= { 2,6,10,14,....} is countable Note: no handwritten

A: Prove that: The set X= { 2,6,10,14,....} is countable

Q: How many 3-permutations of the set S = {a, b, c, d, e} are there?

A:

Q: Define the students enrolled in this class during this semester as a set, S. a. Specify a partition…

A: Let S be the set of students enrolled in this class during this semester. a) Then, consider the…

Q: 9. How many permutations of the letters A, B, C, D, E, F, G are there in which the three letters ABC…

A:

Q: 8. Find the number of distinguishable permutations in the name of ALEXIS BENIGNOS a.) 5,458,648, 200…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Complete the truth table for the given statement by filling in the required columns. TA-S

A: Solution: The given information is

Q: Consider all subsets of size four of the set {1, 2, ..., 20}. How many of them have a nonempty…

A: Given: It is given that by considering that all the subsets of size four of the set{1,2,....20} The…

Q: Let A = { a, e, i, o, u } and B = { a, i, u }. Show that A ∪ B = A

A: A ∪ B ={ a, e, i, o, u } ∪ { a, i, u }           = { a, e, i, o, u }          = A

Q: If a set S has n > 3 elements, how many subsets of S have less than n – 1 elements?

A: Apply the simple logic of Permutation & Combination.

Q: Is A a subset of B if A = {2, 3, 5, 7, 8, 9, 10} andB = {3, 5, 8, 9}?

A: The given sets are, A=2,3,5,7,8,9,10B=3,5,8,9 A set A can be said to be the subset of another set B…

Q: 7. List all subsets of each: a) (green) b) (heads, tails) c) (yes, no, maybe) 8. Using your results…

A: The given sets are

Q: 7. Let U = {2, 3, 4, 5, 7, 9}, X = {2, 3, 4, 5}, Y = {3, 5, 7, 9}, Z= {2,4, 7, 9}. a) Draw a Venn…

A: We have given  U = {2, 3, 4, 5, 7, 9}  X = {2, 3, 4, 5}  Y = {3, 5, 7, 9} Z = {2, 4, 7, 9}  Here, U…

Q: 2. Let U = {1,2,3,4,5,...,12},A = {1,3,5,7,9,11},B = {2,3,6,12},C = {2,3,6,12}, D={2,4,8}. Determine…

A:

Q: Find the number of items in the following sets. If there is an infinite number in a set enter oo…

A:

Q: Given a set A- [p, 5, 7, m, n }, answer the following questions: a. Find the number of subsets of A…

A:

Q: Let X = {v, w, x, 9, 10, 11), Y = {w, y, z, 9, 11, 13), and Z= {w, y, 10, 11, 13). List the members…

A:

Q: How many elements are in the set S = {∅, x, y, {x}, {{y}}, {x, {y}}, {x, {x}, {{y}}}}

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: How many elements are in A ∩ B  U= {1,2,3,4,5,6,7} A={1,2,4,5} B={1,3,5,7

A: Given:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.