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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.
It is an edge with just one endpoint?
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?
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?
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?
If $19,000 is borrowed at 7.1% simple interest for 10 years, how much interest will be paid for the loan?
In how many different ways can the letters of the word 'DISCRETE' be arranged in such away that the vowels always come together?
If the elements of the set cannot be counted or enumerated, then the set is said to be?
Tautology is a statement that is always false
Using Identity Law, the proposition p V False is equivalent to?
It is a vertex distinguishable from other vertex?
In many instances, we assign to each element of a set a particular element of a second set.
Refers to a graph that does not have any loops or parallel edges?
It refers to statements that supports the arguments?
A function f:A→B is a one-to-one correspondence, or a bijection
Represent C={2, 4, 6, 8, 10, …, 100} using Set Builder Form.
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.
The ordering of elements in a set is insignificant and may contain duplicates.
A tree is not a tree if it has?
A tree traversal where the left subtree is visited first, followed by the root, then the right subtree?
It is a statement that is always true regardless of the truth values of the individual logical variables?
Multiple Choice: Solve the Equation -5(2y + 3) + 5 = 0
It is a type of function that is both one-to-one and onto?
It is the number of edges along the unique path between it and the root?
Multiple Choice: Solve the rational equation. 4/x + 5/2 = 7/4
It is a type of function where two distinct elements of A do not map to the same element of B?
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?
It is a collection of objects called elements?
A proposition whose form is a tautology is called a tautological proposition
It is a group of propositions/statements which is divided into one or more premises and one and only one conclusion?
Objects that can be counted are called?
The elements of a set must be distinct, ordered and well-defined?
A function f:A→B is called onto, or injunction
It is the part of mathematics devoted to the study of discrete objects?
Contradiction is a statement that is always true
A proposition whose form is a contradiction is called a tautological proposition
In how many ways can 5 different books be arranged on a shelf?
In how many ways can you choose 5 out of 10 friends to invite to a dinner party?
The Set of Natural Numbers is represented using the boldface letter?
De Morgan's laws state that: The negation of a proposition is logically equivalent to the proposition in which each component is negated
It refers to an equation that is universally true for all elements in some set?
It exists if and only if the two propositions have identical truth values for each possible substitution of propositions for their proposition variable?
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?
It is defined to be the product of all the integers from 1 to n and is denoted n!?
Multiple Choice; Simplify the radical 3√72
It refers to statement being supported in the argument?
Vertices with the same parent are called?
Find the value of n so that the expression is a perfect square trinomial and then factor the trinomial. t2-(4/3)t+n
A graph having 6 vertices and 9 edges, if a tree is to make from a graph, how many edges should be deleted?
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?
It is a connected graph that contains no cycles?
It is the study of the methods and principles used to distinguish good (correct) from bad(incorrect) reasoning?
Given the set of four letters, {A, B, C, D}, how many possibilities are there for selecting any two letters where order is important?
There are 20 CS majors and 25 IT majors. How many ways are there to pick one CS major or one IT major?
A = {a, e, i, o, u} is a set of?
It refers to the ability to understand and create mathematical arguments?
It is the Law of Logic which states that the proposition form p Λ True ≡ p?
Two dice are thrown. How many possible outcomes are there?
Solve the system by substitution. 8x - y = 1 12 + 5y = 8
Simplify
It is the maximum level of any vertex of the tree?
Determine whether the equation is a conditional equation, an identity, or a contradiction. 5(z + 2) - 3z = -4(-(1/2)z+1) + 14
Among 366 people, at least how many people could have the same birthday?
Multiple Choice: Solve the Equation The product of two consecutive positive even integers is 120. Find the integers.
It is the negation of Tautology?
The Gilas Pilipinas Basketball Team has 10 players. How many ways can the coach select 5 players to start the game?
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?
Functions are also used represent how long it takes a computer to solve problems of a given size.
Multiple Choice; Convert the expression to radical form and simplify 491/2
If f : A —> B , then A is called?
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 that part of logic which deals with statements that are either true or false but not both?
Refers to the sum of the indegree and outdegree of the graph?
It specifies the meaning of mathematical statements?
It is a tree in which there is one vertex that is distinguished from the others?
A computer password consists of a letter of the alphabet followed by three digits. Find the total number of passwords that can be created.
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 consists of two finite sets, a nonempty set V(G) of vertices and a set E(G) of edges?
Refers to a vertex unconnected by an edge to any other vertex in the graph?
Refers to a vertex on which no edges are incident?
It is the Law of Aristotelian Logic which states that “No Statement is both true and false”?
How many edges can fully connect a graph with 4 vertices?
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?
If A=6!, then A is equal to?
One-to-one is not a type of function
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?
Write the requested inequality.
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.
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?
Multiple Choice; Simplify the radical. Assume that all variables represent positive real numbers.
Multiple Choice: Solve the Problem The sum of an integer and its square is 72. Find all possible integers.
How many bit strings of length 4 contain either 3 consecutive 0s or 3 consecutive 1s?
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?
If f:A->A, and f(A)=3x, then f(4)?
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?
Let A = {1, 2, 3, 4} and B = {x, y, z}, if f:A—>B, then the domain of f is?
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: Find the value of n so that the expression is a perfect square trinomial and then factor the trinomial. j2-12j+n
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