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A set of discrete elements on which certain operations are defined and implies noncontinuous and therefore discrete sets include finite and countable sets.
In how many different ways can the letters of the word 'DISCRETE' be arranged in such away that the vowels always come together?
Refers to a vertex on which no edges are incident?
Using Identity Law, the proposition p V False is equivalent to?
It specifies the meaning of mathematical statements?
If 75 students are to be assigned in a room, filling all available rooms, how many rooms would require two students to share a room?
It is an edge with just one endpoint?
Write the requested inequality.
35 voters were surveyed about their opinions regarding two presidentiables. 16supported presidentiable 1 and 29 supported presidentiable 2. How many voters supported both, assuming that every voter supported either presidentiable 1 or presidentiable 2 or both?
The ordering of elements in a set is insignificant and may contain duplicates.
In a graph, let V = {v1, v2, v3}, and E = {e1, e2, e3}, assuming the endpoints of e1 are v1and v2, the endpoints of e2 are v1 and v3, the endpoints of e3 are v2 and v3. Then e1 and e2 are incident on what vertex in the graph?
It refers to the number of ways in which a subset of objects can be selected from a given set of objects, where order is important?
A function f:A→B is a one-to-one correspondence, or a bijection
How many bit strings of length 4 contain either 3 consecutive 0s or 3 consecutive 1s?
If f : A —> B , then A is called?
It is a statement that is always true regardless of the truth values of the individual logical variables?
Determine whether the equation is a conditional equation, an identity, or a contradiction. 5(z + 2) - 3z = -4(-(1/2)z+1) + 14
It is a collection of objects called elements?
In how many ways can 5 different books be arranged on a shelf?
It is defined to be the product of all the integers from 1 to n and is denoted n!?
Multiple Choice; Convert the expression to radical form and simplify 491/2
It is the Law of Logic which states that the proposition form p Λ True ≡ p?
Objects that can be counted are called?
It consists of two finite sets, a nonempty set V(G) of vertices and a set E(G) of edges?
Simplify
It is the maximum level of any vertex of the tree?
There are 20 CS majors and 25 IT majors. How many ways are there to pick one CS major or one IT major?
B = {b, c, d, f, g, h, j, k, l, m, n, p, q, r, s, t, v, w, x, y, z} is a set of?
Given the set of four letters, {A, B, C, D}, how many possibilities are there for selecting any two letters where order is important?
Refers to a graph that does not have any loops or parallel edges?
A proposition whose form is a contradiction is called a tautological proposition
It is a set representation where all the elements in the set are all listed separated by commas and enclosed within braces or curly brackets?
It exists if and only if the two propositions have identical truth values for each possible substitution of propositions for their proposition variable?
A tree traversal where the left subtree is visited first, followed by the root, then the right subtree?
Multiple Choice: Solve the Equation -5(2y + 3) + 5 = 0
If there are 20 girls and 10 boys in the class and you want to speak to one student of theclass. How many choices do you have?
The width of a rectangle is 7 ft less than 4 times the length. Write a model for the width W in terms of the length L.
Multiple Choice: Solve the Equation The product of two consecutive positive even integers is 120. Find the integers.
Solve the problem. The width of a rectangular is 6 ft less than 4 times the length. Write a model for the width W in terms of the length L.
If A=6!, then A is equal to?
It is a group of propositions/statements which is divided into one or more premises and one and only one conclusion?
It is that part of logic which deals with statements that are either true or false but not both?
Functions are also used represent how long it takes a computer to solve problems of a given size.
Multiple Choice; Simplify the radical 3√72
Find the value of n so that the expression is a perfect square trinomial and then factor the trinomial. t2-(4/3)t+n
De Morgan's laws state that: The negation of a proposition is logically equivalent to the proposition in which each component is negated
Refers to the sum of the indegree and outdegree of the graph?
Represent C={2, 4, 6, 8, 10, …, 100} using Set Builder Form.
If $19,000 is borrowed at 7.1% simple interest for 10 years, how much interest will be paid for the loan?
In many instances, we assign to each element of a set a particular element of a second set.
A function f:A→B is called onto, or injunction
A computer password consists of a letter of the alphabet followed by three digits. Find the total number of passwords that can be created.
Solve the system by substitution. 8x - y = 1 12 + 5y = 8
How many edges can fully connect a graph with 4 vertices?
A standard deck of playing cards consist of 52 cards, 4 suits for each 13 cards. How many ways can you choose 2 kings from 4 available kings suits?
If f:A->A, and f(A)=3x, then f(4)?
It is the negation of Tautology?
The Set of Natural Numbers is represented using the boldface letter?
A graph having 6 vertices and 9 edges, if a tree is to make from a graph, how many edges should be deleted?
Two dice are thrown. How many possible outcomes are there?
It is a vertex distinguishable from other vertex?
It is a tree in which there is one vertex that is distinguished from the others?
It refers to an equation that is universally true for all elements in some set?
It is the number of edges along the unique path between it and the root?
In a graph, let V = {v1, v2, v3, v4}, and E = {e1, e2, e3, e4}, assuming the endpoints of e1are v1 and v2, the endpoints of e2 are v1 and v3, the endpoints of e3 are v2 and v3, theendpoint of e4 is v4. What is the loop in the graph?
A circuit can store a bit, a binary digit, 1 or 0. So, for 1 bit, there are 2 possible states.How many possible states if the binary has 4 bits?
A proposition whose form is a tautology is called a tautological proposition
The elements of a set must be distinct, ordered and well-defined?
Given a graph with V = {a, b, c, d}, and E = {(a, b), (a, c), (b, c) (c, d), (b, d)}, how manyedges should be deleted to create a spanning tree?
In how many ways can you choose 5 out of 10 friends to invite to a dinner party?
It refers to the number of ways in which a subset of objects can be selected from a given set of objects, where order is not important?
It is a connected graph that contains no cycles?
It refers to the ability to understand and create mathematical arguments?
Vertices with the same parent are called?
Among 366 people, at least how many people could have the same birthday?
Multiple Choice: Solve the Problem The sum of an integer and its square is 72. Find all possible integers.
It is a type of function that is both one-to-one and onto?
The Gilas Pilipinas Basketball Team has 10 players. How many ways can the coach select 5 players to start the game?
A local telephone number in an office is given by a sequence of three digits. How manydifferent telephone numbers are there if the first digit cannot be 0?
If the elements of the set cannot be counted or enumerated, then the set is said to be?
It is a complete Graph where each vertex in one of the subsets is connected by exactly one edge to each vertex in the other subset, but not to any vertices in its own subset?
A = {a, e, i, o, u} is a set of?
Multiple Choice: Solve the rational equation. 4/x + 5/2 = 7/4
Contradiction is a statement that is always true
Let A = {1, 2, 3, 4} and B = {x, y, z}, if f:A—>B, then the domain of f is?
Refers to a vertex unconnected by an edge to any other vertex in the graph?
A tree is not a tree if it has?
It is the study of the methods and principles used to distinguish good (correct) from bad(incorrect) reasoning?
One-to-one is not a type of function
Multiple Choice: Find the value of n so that the expression is a perfect square trinomial and then factor the trinomial. j2-12j+n
Tautology is a statement that is always false
Multiple Choice; A tool rental store charges a flat fee of $5.50 to rent a chain saw, and $7.00 for each day, including the first. Use a linear equation to find the cost of renting the saw for one week.
It is a type of function where two distinct elements of A do not map to the same element of B?
It refers to statement being supported in the argument?
It is the part of mathematics devoted to the study of discrete objects?
Multiple Choice; Simplify the radical. Assume that all variables represent positive real numbers.
It is the Law of Aristotelian Logic which states that “No Statement is both true and false”?
It refers to statements that supports the arguments?
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