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Recent questions in Discrete Mathematics

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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 asked in Mathematical Logic 1 day ago

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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 asked in Mathematical Logic 1 day ago

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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 asked in Mathematical Logic 1 day ago

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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 asked in Mathematical Logic 1 day ago

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3 votes

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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 asked in Mathematical Logic 1 day ago

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1 answer

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#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

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1 answer

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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

0 votes

2 answers

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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

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1 answer

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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

0 votes

1 answer

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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

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

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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

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2 answers

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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

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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

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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

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#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

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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

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4 votes

1 answer

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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

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6 votes

3 answers

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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

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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

by admin

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