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Recent questions in Discrete Mathematics
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1
GO Classes Weekly Quiz 4 | Propositional Logic | Question: 4
If $\mathbf{p}$ is true, $\mathbf{q}$ is true, and $\mathbf{r}$ is true, find the truth value of the statement. $ (p \wedge q) \leftrightarrow(q \vee \sim r) $ Choose the correct answer below. True because $(p \wedge q)$ ... and $(q \vee \sim r)$ is false. False because $(p \wedge q)$ is true and $(q \vee \sim r)$ is true.
GO Classes
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Mathematical Logic
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ago
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GO Classes
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goclasses2024_wq4
goclasses
mathematical-logic
propositional-logic
1-mark
1
vote
2
answers
2
GO Classes Weekly Quiz 4 | Propositional Logic | Question: 5
If $p$ is true and $q$ is false then the truth values of $(p \rightarrow q) \leftrightarrow(\sim q \rightarrow \sim p)$ and $(\sim p \vee \sim q) \wedge(\sim q \vee p)$ are respectively True, True True, False False, False False, True
GO Classes
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in
Mathematical Logic
1 day
ago
by
GO Classes
80
views
goclasses2024_wq4
goclasses
mathematical-logic
propositional-logic
1-mark
1
vote
2
answers
3
GO Classes Weekly Quiz 4 | Propositional Logic | Question: 6
If $(p \wedge \sim q) \wedge(p \wedge r) \rightarrow \sim p \vee q$ is false, then the truth values of $p, q$ and $r$ are, respectively : $F, T, F$ $T, F, T$ $T, T, T$ $F, F, F$
GO Classes
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in
Mathematical Logic
1 day
ago
by
GO Classes
56
views
goclasses2024_wq4
goclasses
mathematical-logic
propositional-logic
1-mark
1
vote
2
answers
4
GO Classes Weekly Quiz 4 | Propositional Logic | Question: 7
If $p, q, r$ are simple statement with truth values $T, F, T$ respectively then the truth value of $((\sim p \vee q) \wedge r) \rightarrow p$ is : True False True if $r$ is false True if $q$ is true
GO Classes
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in
Mathematical Logic
1 day
ago
by
GO Classes
73
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goclasses2024_wq4
goclasses
mathematical-logic
propositional-logic
1-mark
3
votes
1
answer
5
GO Classes Weekly Quiz 4 | Propositional Logic | Question: 8
A very special island, "Smullyan's island", is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You encounter two people, $\text{A}$ and $\text{B. A}$ says " ... , respectively, if they address you in the above way described: Knight, Knight Knight, Knave Knave, Knight Knave, Knave
GO Classes
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Mathematical Logic
1 day
ago
by
GO Classes
107
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goclasses2024_wq4
goclasses
mathematical-logic
propositional-logic
2-marks
0
votes
1
answer
6
#Eigen Vectors
Find the eigen values and eigen vector of the following matrix????
Çșȇ ʛấẗẻ
asked
in
Mathematical Logic
2 days
ago
by
Çșȇ ʛấẗẻ
26
views
eigen-value
linear-algebra
engineering-mathematics
matrix
0
votes
1
answer
7
self doubt
how to write if and only if symbolic form explain in detail????
Çșȇ ʛấẗẻ
asked
in
Mathematical Logic
3 days
ago
by
Çșȇ ʛấẗẻ
21
views
self-doubt
discrete-mathematics
matematical
mathematical-logic
0
votes
2
answers
8
Can any one solve this , 6B and 4G ,at least 2 girls should be together in circular arrangement
Shivank121
asked
in
Combinatory
3 days
ago
by
Shivank121
42
views
discrete-mathematics
combinatory
0
votes
1
answer
9
explain universal quantifiers and existential quantifiers with example what is De morgan's law for quantifiers
gund pragati sunil
asked
in
Mathematical Logic
Mar 11
by
gund pragati sunil
47
views
mathematical-logic
0
votes
1
answer
10
explain with example, notations used and mathematical expressions to describe the following terms .i)membership ii) subset iii) equality of two sets iv) union
gund pragati sunil
asked
in
Mathematical Logic
Mar 11
by
gund pragati sunil
37
views
mathematical-logic
set-theory
2
votes
3
answers
11
NTRO exam 2023
the solution of the linear congruence 4x = 5(mod9)? 6 (mod 9) 8 (mod 9) 9(mod 9) 10 (mod 9)
jugnu1337
asked
in
Mathematical Logic
Mar 5
by
jugnu1337
196
views
discrete-mathematics
maths
1
vote
0
answers
12
Kenneth Rosen, exercise 6.1, Qs - 42 (d)
How many 4-element DNA sequences contain exactly three of the four bases A, T, C, and G? Solution given: There are four ways to choose which letter is to occur twice and three ways to decide which of the other letters to leave ... wrong. It would be of great help if you can show what combinations my approach is not including but the given solution includes.
Roshakaw
asked
in
Combinatory
Mar 3
by
Roshakaw
75
views
kenneth-rosen
discrete-mathematics
counting
combinatory
0
votes
2
answers
13
Discrete Maths by Kenneth Rosen, exercise 6.1, Qs - 12
How many bit strings are there of length six or less, not counting the empty string? Solution given:- We use the sum rule, adding the number of bit strings of each length up to 6. If we include the empty string, then we get 2^0 ... a binary string such as 000100 of length 3, and so on Please let me know if I am wrong somewhere in my approach.
Roshakaw
asked
in
Combinatory
Mar 2
by
Roshakaw
63
views
discrete-mathematics
kenneth-rosen
counting
0
votes
1
answer
14
set theory
If A = {1, 2, 3, . . . . . . 10} then the number of 4 element subsets of A containing ‘2’?
someshawasthi
asked
in
Set Theory & Algebra
Feb 27
by
someshawasthi
99
views
set-theory
0
votes
1
answer
15
#Combinatorics #Self doubt
How many 3 digits number are there which are divisible by 3 and repetition of digits NOT allowed.?
Hattbc
asked
in
Combinatory
Feb 17
by
Hattbc
186
views
counting
combinatory
0
votes
0
answers
16
#Graphs #Self_Doubt #Connectivity
What is a biconnected componenet?Does it always include V-V’ where V’ represent the set of articulation points of a graph G?
Gate Shark
asked
in
Graph Theory
Feb 17
by
Gate Shark
71
views
graph-theory
0
votes
0
answers
17
Kenneth Rosen Edition 7 Exercise 1.6 Question 11 (Page No. 79)
Show that the argument form with premises $p_1,p_2$,...,$p_n$ and conclusion q → r is valid if the argument form with premises $p_1,p_2,$...,$p_n$,q, and conclusion r is valid.
pavan singh
asked
in
Mathematical Logic
Feb 16
by
pavan singh
144
views
kenneth-rosen
discrete-mathematics
propositional-logic
4
votes
1
answer
18
GATE CSE 2023 | Question: 5
The Lucas sequence $L_{n}$ is defined by the recurrence relation: \[ L_{n}=L_{n-1}+L_{n-2}, \quad \text { for } \quad n \geq 3, \] with $L_{1}=1$ and $L_{2}=3$ ... $L_{n}=\left(\frac{1+\sqrt{5}}{2}\right)^{n}-\left(\frac{1-\sqrt{5}}{2}\right)^{n}$
admin
asked
in
Combinatory
Feb 15
by
admin
890
views
gatecse-2023
combinatory
recurrence-relation
1-mark
6
votes
3
answers
19
GATE CSE 2023 | Question: 16
Geetha has a conjecture about integers, which is of the form \[ \forall x(P(x) \Longrightarrow \exists y Q(x, y)), \] where $P$ is a statement about integers, and $Q$ is a statement about pairs of integers. Which of the following (one or more) option(s) would imply ... $\exists y \forall x(P(x) \Longrightarrow Q(x, y))$ $\exists x(P(x) \wedge \exists y Q(x, y))$
admin
asked
in
Mathematical Logic
Feb 15
by
admin
1.4k
views
gatecse-2023
mathematical-logic
first-order-logic
multiple-selects
1-mark
4
votes
0
answers
20
GATE CSE 2023 | Question: 38
Let $U=\{1,2, \ldots, n\},$ where $n$ is a large positive integer greater than $1000.$ Let $k$ be a positive integer less than $n$. Let $A, B$ be subsets of $U$ with $|A|=|B|=k$ and $A \cap B=\emptyset$. We say that a permutation of $U$ separates $A$ from $B$ if ... $2\left(\begin{array}{c}n \\ 2 k\end{array}\right)(n-2 k) !(k !)^{2}$
admin
asked
in
Combinatory
Feb 15
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admin
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gatecse-2023
combinatory
counting
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