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