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Discrete Mathematics

Showing 76-150 of 326 answers

Conditional Statements are statements that have a hypothesis and a conclusion
  • True Correct
  • False
Consider the function f : N → N given by f (0) 0 and f (n + 1) f+ 2n + 1. Find f (6).
  • 36 Correct
Contingency are statements that are always FALSE regardless of the truth value of the propositions it contains
  • True
  • False Correct
Corollary 4.2.2
  • A graph F is a forest if and only if between any pair of vertices in F there is at most one path Correct
Customers must wear shoes
  • Not a Statement Correct
De Morgan's law is used in finding the equivalence of a logic expression using other logical functions.
  • true Correct
De Morgan's Law states that A∪U is equivalent to U
  • True
  • False Correct
Deduction rule is an argument that is not always right.
  • False Correct
Defined as the product of all the whole numbers from 1 to n.
  • factorials Correct
Determine the number of elements in A U B.
  • 18 Correct
Digraphs is the graphical representation of a relation
  • True Correct
  • False
Does a rational r value for r
  • No, a rational r does not exist. Correct
Does this graph have an Euler Path, Euler Circuit, both, or neither?
  • Both Correct
Euler paths must touch all edges.
  • True Correct
Every connected graph has a spanning tree.
  • true Correct
Every natural number greater than 1 is either prime or composite.
  • Molecular - Conditional Correct
Everybody needs somebody sometime
  • Atomic – N/A Correct
Expressive interfacing gives consoling input that can be both enlightening and fun
  • True Correct
  • False
Expressive interfacing when panicked or irate we center barely, and body reacts by straining muscles and sweating
  • True
  • False Correct
Facial Coding too employments this to gauge how locked in the client is when looking at motion pictures, online shopping locales, and advertisements
  • True Correct
  • False
Find | R | when R = {2, 4, 6,..., 180}
  • 90 Correct
Find |A∩ B| when A = {1, 3, 5, 7, 9} and B {2, 4, 6, 8, 10}
  • 0 Correct
Find an elementnof the domain such thatf= n
  • 3 Correct
Find the cardinality of R = {20,21,...,39, 40} | R |
  • 21 Correct
Find the cardinality of S = {1, {2,3,4},0} | S | =
  • 3 Correct
For a function f : N → N, a ______ definition consists of an ________ together with a _________
  • Recursive - initialcondition- recurrencerelation Correct
For a set of positive integers, we use the special set notation
  • R
  • W
  • Z+ Correct
  • Q
For all n in rational, 1/n ≠ n - 1
  • false Correct
For the set of whole numbers, we use the special set notation
  • W Correct
  • Q
  • R
  • Z+
g: X→YIn the notation above, X is the Domain of g
  • True Correct
  • False
Given the sets A={5,2,6} and B={2,10,31}, which of the following is correct?
  • they have the same cardinality
  • their intersection is {2} Correct
  • they are equivalent sets
  • the two sets are disjoint sets
Given the sets A={7,1,8} and B={100,99,54} which of the following is CORRECT?
  • They are considered equivalent sets
  • Their intersection is {1}
  • They are disjoint sets Correct
  • They have the same cardinality
Given the sets A={7,1,8} and B={8,1,9}, which of the following is INCORRECT?
  • They are disjoint sets
  • They are considered equivalent sets
  • They have the same cardinality
  • They are both considered singletons Correct
Given the sets A={a, b, c} and B={c, d, e} which of the following is CORRECT?
  • their intersection is {c}
  • They are equivalent sets
  • They have the same cardinality
  • All statements are correct Correct
How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
  • 720 Correct
How many edges would a complete graph have if it had 6 vertices?
  • 15 Correct
How many people like apples only?
  • 2 Correct
How many people like only one of the three?
  • 26 Correct
How many people takes coffee but not tea and wine?
  • 45 Correct
How many people takes tea and wine?
  • 32 Correct
How many possible output will be produced in a proposition of three statements?
  • 8 Correct
How many simple non-isomorphic graphs are possible with 3 vertices?
  • 4 Correct
How many spanning trees are possible in the given figure?
  • 4 Correct
Idempotent law states that A∪A=A
  • True Correct
  • False
Identify the propositional logic of the truth table given
  • negation Correct
Identity Laws state that A∪=E2=88=85=A
  • True Correct
  • False
If ⋃ = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {2, 3, 4, 5}, what is A'?
  • {}
  • {1, 6, 7, 8, 9} Correct
  • {2, 3, 4, 5}
  • {1, 2, 3, 4, 5, 6, 8, 9}
If A = {2,1,6} and B = {7,1,6} then A ∩ B = {1, 6}
  • True Correct
  • False
If A = {6,1,9} and B = {1,5,7} then A ∩ B = {1}
  • True Correct
  • False
If A = {a, b, c, d} and B = { d, e, f, g} then what is A ∩ B?
  • {a, x}
  • {a, b, c, d, e, f, g}
  • {d} Correct
  • {}
If A = {a, b, c, d} and B = { x, y, z} then what is A∪ B?
  • {}
  • {a, b, c, d}
  • {a, x}
  • {a, b, c, d, x, y, z} Correct
If A={10,11,12,13} and B={13,14,15} then (A−B)=?
  • {14, 15}
  • {10,11,12} Correct
  • {13}
  • {}
If A={10,11,12,13} and B={13,14,15} then (B−A)= ?
  • {10,11,12}
  • {13}
  • {14, 15} Correct
  • {}
If A={2, 4, 6} and B = {1, 3, 5} then A ∪ B = {2, 4, 6}
  • NO ANSWER
  • {1, 2, 3, 4, 5, 6} Correct
  • {1, 2}
  • {}
If A={a,x,c} and B={x,y,z} then A ∩ B=?
  • {x} Correct
  • {}
  • {x, y, z}
  • {a, c, x, y, x}
If f and g are one-to-one then the function(gof)is also one-to-one
  • True Correct
  • False
If f and g are onto then the function (gof) is also onto
  • True Correct
  • False
If I will give you magic beans, then you will give me a cow
  • Converse Correct
If I will not give you magic beans, then you will not give me acow
  • Contrapositive Correct
If n is a rational number, 1/n does not equal n-1
  • true Correct
If the right angled triangle t, with sides of length a and b and hypotenuse of length c, has area equal to c 2/4, what kind of triangle is this?
  • isosceles triangle Correct
If the triangle is green, then the square is blue.
  • The statement is TRUE Correct
If the triangle is not green, then the square is not blue.
  • The Statement is TRUE Correct
If two vertices are adjacent, then we say one of them is the parent of the other, which is called the ___ of the parent
  • child Correct
If we apply the commutative law on XÈY, we will get
  • X
  • YÈ X Correct
  • XÇY
  • X'Ç Y'
If we have two sets, Set A = {a, b} and Set B = {2, 7},the Cartesian product of A and B is:A × B = {(a, 2), (a, 7), (b, 2), (b, 7)}
  • True Correct
  • False
If we have two sets, Set A = {a, b} and Set B = {3, 5}, the Cartesian product of A and B (A × B) is:A × B = {(3, a), (3, b), (5, a), (5, b)}
  • True
  • False Correct
If X = {7, 1, 6} and Y = {6, 1, 9} then X ∪ Y = {1, 6, 7, 9}
  • True Correct
  • False
If X = FALSE, then ~X must be equal to_______
  • FALSE
  • TRUE and FALSE
  • TRUE Correct
  • X
If X={x, y, z} and Y = {x, y, z} then X ∪ Y=?
  • {}
  • {x, y}
  • {x, y, z} Correct
  • {x}
If you travel to London by train, then the journey takes at least two hours.
  • If your journey by train takes less than two hours, then you don’t travel to London. Correct
If you will give me a cow, then I will not give you magic beans
  • Neither Correct
If you will not give me a cow, then I will not give you magicbeans
  • Neither Correct
In a dorm room of 15 people, 7 of them knows how to play guitar while 5 of them plays the piano 2 people can play both How many people in the room does not play any instrument?
  • 5 Correct
  • 3
  • 7
  • 10
In a dorm room of 15 people, 7 of them knows how to play guitar while 5 of them plays the piano If 2 people can play both, how many can play the guitar ONLY?
  • 10
  • 5
  • 3 Correct
  • 7
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