What is the sign of the permutation a of the set {1,2,3,4,5} that satisfies a(2) = 3,a(3) = 4,¤(4) = 2,¤(1) = 5, and a(5)=1?

Q: How many distinct proper subsets are there of the set N = {6, 44, 62, 14, 40, 51, 23}?

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Q: prove that any set S subset of {1,2,,...100} with |S|=26 contains at least one odd number or it…

A: We have a subset S of {1,2,.......,100} with |S| = 26. We have to prove that S contains at least one…

Q: {k}, {I, m, o}, {n, p}} of the set U = {k, I, m, n, o, p}. Give the

A: Solution is attached below.

Q: if A ={x,{y},1,2,3,{2,3},{3}}      {} a proper subset of A      true or false

A: The problem is concerned with the nature of the empty set. The specific question is whether the…

Q: Consider the following sets U= {1,2,3.4,5,6,7,8}, A = {2,4,6}, and B= {1,2,4,6}. What is A-B' ? * O…

A: Given:- Consider the following sets  U= {1,2,3,4,5,6,7,8} A = {2,4,6} B= {1,2,4,6} To find:- A-B'

Q: Let A=(1, 2,3,4,5,6,7,8,9,10,11,12) how many different non-empty subsets are there in set A

A: Given,            A=(1, 2,3,4,5,6,7,8,9,10,11,12) We have to determine the number of different…

Q: For the universal set U=(0, 1, 2, 3, 4, 5, 6, 7} and the sets A={1,5}, B=[1, 2, 3, 4} and C=(4, 6),…

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Q: Let U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 4}, B = {1, 2, 5, 6}, and C = {3, 5, 7}.  List all the…

A: Given: As per bartleby guidelines for more than one questions asked only one question is to be…

Q: 16. How many 6-element subsets of A = {0,1,2,3,4,5,6,7,8,9} have exactly three even

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Q: Assume that the set S has 14 elements. How many subsets of S have at most 4 elements

A: At most 4 means 4 or less.  Let us denote X=number of elements

Q: Show that A = {2,3,4,5} is a proper subset of B = {2,4,5,6,3}

A: A set X will be called a subset of Y, if each elements of X belongs to the set Y . A set X will be…

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

A: total 9 member

Q: How many subsets of S do not contain any upper case letters?

A: given set S=A,B,a,b,c,d,1,2,3,4 claim- to find how many subsets of Sdo not contain any upper case…

Q: Use inclusion-exclusion to find the number of ways to arrange the six numbers 1, 2, 3, 4, 5, 6 such…

A: please see the next step for solution

Q: Show that the set {2/3,1/3,2/9,1/6...} is countable

A: Given set of numbers{2/3, 1/3, 2/9, 1/6...}. Here, this set of rational numbers will be proved as…

Q: Is a permutation of one element considered to be an even permutation? For example, is (1) an even…

A: To clarify the notion of an even permutation

Q: Suppose A₁, A2, ..., A30 are thirty sets each having 5 elements and B₁, B₂, ..., B₁ are n sets each…

A: Given that A1, A2, . . ., A30 are thirty sets each having 5 elements and B1, B2, . . ., Bn  are 'n'…

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

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Q: Number theory

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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) In how many different ways can the letters of the word combine be arranged? (b) In how many…

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Q: If A=(1,2,3,4,5.6,7), What is the number of nonempty subsets of A?

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Q: How many proper subsets are there of the set A = {Mallory, Janet, Kaitlynn, Akira}?

A: Given,         The set A= Mallory, Janet, Kaitlynn, Akira .

Q: Assume that the set S has 13 elements. How many subsets of S have at most 4 elements?

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Q: Find the number of distinguishable permutations of the group of letters. Z, V, C, C, V, C, C, V, M,…

A: Letter   Frequency---------  ----------Z                1V                4C                4M…

Q: If A is set of all vowels in alphabets.Then number of subsets of A is

A: Given: A contains all vowels  So, A = a, e, i , o , u Number of elements in A = 5

Q: 2) Explain how you count the number of elements in the set A = {n EN| n <500 and gcd (n, M) = 1},…

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Q: 2. Let A = {0, 1, а, b, 8, 10, с, — 4}, В %3 {3, 1, 9, e, а, с, 0}, and C 3D {2, с, 10, 9, 8, —4,…

A: solution of the given problem is below...

Q: Let ? and ? be permutations on the set {1,2,3,4,5,6,78,9}, defined as follows

A: Introduction: A permutation is a bijective mapping from a set to itself. The general way to…

Q: How many permutations of {1,2,3,4,5,6,7,8} have exactly 15 inversions?

A: Introduction: The permutation is {1, 2, 3, 4, 5, 6}. The inversion sequence of the given permutation…

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: A computer programming team has 9 members. (a) How many ways can a group of five be chosen to work…

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Q: when is an arrangement a permutation and when is an arrangement a combination?

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Q: Is {1} proper subset of A  A={x,{y},1,2,3,{2,3},{3}}

A: A proper subset of a set A is a subset of A that is not equal to A.Or in other words, if B is a…

Q: If 1/3 of the blocks in set A are red, and 1/4 of the blocks in set B are red, does it follow that…

A: Given 1/3 of blocks in set A are red and 1/4 of blocks in set B are  red

Q: How many ways are there to form a subset of (n| of size k with the property that each selected…

A: Let us define some events   A:- box 1 is selected B:- box 2 is selected E:- Yellow ball is selected

Q: 15 Assume that set S has 11 elements. How many subsets of S have at most 2 elements?

A: Solution : A set S has 11 elements We want to find subset of S have at most 2 elements

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

A:

Q: Given the permutation, [2, 5, 1, 6, 3, 4], and its transpose, [4, 3, 6, 1, 5, 2], find the number of…

A: The given permutation is: 2,5,1,6,3,4 Its transpose is: 4,3,6,1,5,2

Q: Is the set of permutations P(X), commutative? Justify your answer

A: .

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

A:

Q: Prove that among any group of people, there are always two people with the same number of friends…

A:

Q: How many distinct proper subsets are there of the set N = {4, 49, 63, 12, 36, 55}?

A: A proper subset is subset which is not the whole set itself.    There are 2n subsets of a set where…

Q: Let Z = {a, b, c, d}. What is the cardinality of the Power Set of Z, |P(Z)|?

A: Power set:Power set of any set S is the set of all subsets of S, including the empty set and S…

Q: Let U = {6, 7, 8, 9, 10, 11, 12}, and A = {6, 7, 8, 9}. List all the members of the given set.  Ā

A: The Universal set U is defined as U = {6, 7, 8, 9, 10, 11, 12}.

Q: 30. (i) Verify that Hall's marriage condition is satisfied for the family {A₁, A₂, A3, A4, A5, A6}…

A: Hall's marriage condition is defined as  let S be the family of finite subsets of X, where the…

Q: Which elements of the poset ({2,4,5,10,12,20,25}, |) are maximal, and which are minimal?

A: Draw the Hasse diagram to the given partially ordered set 2,4,5,10,12,20,25 by using the…

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.