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Most viewed questions in Discrete Mathematics
3
votes
1
answer
2241
probability distribution
A arrives at office at 8-10am regularly; B arrives at 9-11 am every day. Probability that one day B arrives before A? [Assume arrival time of both A and B are uniformly distributed]
A arrives at office at 8-10am regularly; B arrives at 9-11 am every day. Probability that one day B arrives before A? [Assume arrival time of both A and B are uniformly d...
vaishali jhalani
836
views
vaishali jhalani
asked
Nov 17, 2016
Mathematical Logic
probability
random-variable
uniform-distribution
+
–
2
votes
3
answers
2242
Lattice
How to pick an option from this I feel like both c and d are correct what do you day?
How to pick an option from this I feel like both c and d are correct what do you day?
pC
836
views
pC
asked
Jun 22, 2016
Set Theory & Algebra
set-theory&algebra
lattice
+
–
0
votes
0
answers
2243
Madeeasy CBT1
jatin khachane 1
835
views
jatin khachane 1
asked
Jan 13, 2019
Set Theory & Algebra
set-theory&algebra
+
–
1
votes
2
answers
2244
IISc CDS (MTech-R)
Number of distinct simple graphs possible, given 8 vertices and not considering self loops?
Number of distinct simple graphs possible, given 8 vertices and not considering self loops?
Hakuna Matata
835
views
Hakuna Matata
asked
May 3, 2018
Graph Theory
iisc
cds
mtechr
graph-theory
written-test
+
–
0
votes
1
answer
2245
Quantifiers Problem
Anup patel
835
views
Anup patel
asked
Jan 2, 2017
2
votes
2
answers
2246
graph theory
Maximum no of edges in a triangle-free, simple planar graph with 10 vertices
Maximum no of edges in a triangle-free, simple planar graph with 10 vertices
Parshu gate
834
views
Parshu gate
asked
Dec 23, 2017
Graph Theory
graph-theory
discrete-mathematics
graph-connectivity
+
–
4
votes
2
answers
2247
Test by Bikram | Mock GATE | Test 2 | Question: 30
Which of the following statements are true? Every totally ordered set is a lattice Every lattice has a least element and a greatest element All totally ordered posets are also well ordered posets. i only ii and iiii only ii only i, ii and iii
Which of the following statements are true?Every totally ordered set is a latticeEvery lattice has a least element and a greatest elementAll totally ordered posets are al...
Bikram
834
views
Bikram
asked
Jan 24, 2017
Set Theory & Algebra
tbb-mockgate-2
discrete-mathematics
set-theory&algebra
lattice
+
–
2
votes
0
answers
2248
Let p(n) denote the number of different equivalence relations on a set with n elements.
Solve. a) Show that satisfies the recurrence relation and the initial condition p(0) = 1. b) Find the number of different equivalence relations on a set with n elements, where n is a positive integer not exceeding 10
Solve.a) Show that satisfies the recurrence relation and the initial condition p(0) = 1.b) Find the number of different equivalence relations on a set with n elements,...
Sahil Gupta
834
views
Sahil Gupta
asked
Nov 29, 2014
Set Theory & Algebra
set-theory&algebra
relations
+
–
3
votes
2
answers
2249
Applied Course | Mock GATE | Test 1 | Question: 36
Naveen invited seven of his friends to a party. At the party, several pairs of people shook hands, although no one shook hands with themselves or shook hands with the same person more than once. After the party, Naveen asked each of his ... positive integers. Given that his friends were truthful, how many hands did Naveen shake? $4$ $5$ $6$ $7$
Naveen invited seven of his friends to a party. At the party, several pairs of people shook hands, although no one shook hands with themselves or shook hands with the sam...
Applied Course
833
views
Applied Course
asked
Jan 16, 2019
Graph Theory
applied-course-2019-mock1
graph-theory
graph-connectivity
+
–
0
votes
0
answers
2250
Boolean Algebra Lattice Discrete Mathematics
Boolean algebra is a bounded distributed complemented lattice, also lattice is a poset thus it satisfies reflexive , antisymmetric and transitive properties. Does Boolean Algebra satisfy commutative law?
Boolean algebra is a bounded distributed complemented lattice, also lattice is a poset thus it satisfies reflexive , antisymmetric and transitive properties. Does Boolean...
Nidhi Budhraja
833
views
Nidhi Budhraja
asked
Aug 22, 2018
Mathematical Logic
boolean-algebra
discrete-mathematics
lattice
+
–
4
votes
1
answer
2251
TIFR CSE 2016 | Part B | Question: 10
A $vertex \: cover$ in an undirected graph $G$ is a subset $ C \subseteq V(G)$ such that every edge of $G$ has an endpoint in $C$. An independent set in $G$ is a subset $I \subseteq V(G)$ such that no edge has both its endpoints in $I$. Which of the ... $\mid C \mid \: \: \geq \: \: \mid V(G)\mid /2$ $C$ intersects every independent set
A $vertex \: cover$ in an undirected graph $G$ is a subset $ C \subseteq V(G)$ such that every edge of $G$ has an endpoint in $C$. An independent set in $G$ is a subset $...
go_editor
833
views
go_editor
asked
Dec 29, 2016
Graph Theory
tifr2016
graph-theory
vertex-cover
+
–
3
votes
1
answer
2252
TIFR-2015-Maths-B-14
Let $G$ be a group. Suppose $|G|= p^{2}q$, where $p$ and $q$ are distinct prime numbers satisfying $q ≢ 1 \mod p$. Which of the following is always true? $G$ has more than one $p$-Sylow subgroup. $G$ has a normal $p$-Sylow subgroup. The number of $q$-Sylow subgroups of $G$ is divisible by $p$. $G$ has a unique $q$-Sylow subgroup.
Let $G$ be a group. Suppose $|G|= p^{2}q$, where $p$ and $q$ are distinct prime numbers satisfying $q ≢ 1 \mod p$. Which of the following is always true?$G$ has mor...
makhdoom ghaya
833
views
makhdoom ghaya
asked
Dec 21, 2015
Set Theory & Algebra
tifrmaths2015
group-theory
+
–
0
votes
2
answers
2253
Graph Theory
let G=(V,E) be an connected graph, let $\left | V \right |= n$ Find largest value of n such that i) G is complete & ii) G is bipartite with valid proof
let G=(V,E) be an connected graph, let $\left | V \right |= n$Find largest value of n such thati) G is complete &ii) G is bipartitewith valid proof
Tesla!
832
views
Tesla!
asked
Apr 2, 2017
Graph Theory
graph-theory
bipartite-graph
+
–
0
votes
0
answers
2254
Directed graph
How many distinct directed graphs are there nodes labeled 1, 2, 3, 4? [consider graphs with no multiple edges and loops]
How many distinct directed graphs are there nodes labeled 1, 2, 3, 4? [consider graphs with no multiple edges and loops]
Neal Caffery
832
views
Neal Caffery
asked
Dec 11, 2016
Graph Theory
graph-theory
+
–
0
votes
3
answers
2255
The number of colors needed to edge color a simple graph with maximum degree Δ is?
The number of colors needed to edge color a simple graph with maximum degree Δ is? Is this there in portion?
The number of colors needed to edge color a simple graph with maximum degree Δ is?Is this there in portion?
Purple
832
views
Purple
asked
Jan 30, 2016
3
votes
2
answers
2256
Manipulation of sum
Prove the identity: $\begin{align*} &\sum_{i=0}^{n}\sum_{j=0}^{i} a_ia_j = \frac{1}{2}\left ( \left ( \sum_{i=0}^{n}a_i \right )^2 + \left ( \sum_{i=0}^{n}a_i^2 \right )\right ) \end{align*}$
Prove the identity:$$\begin{align*} &\sum_{i=0}^{n}\sum_{j=0}^{i} a_ia_j = \frac{1}{2}\left ( \left ( \sum_{i=0}^{n}a_i \right )^2 + \left ( \sum_{i=0}^{n}a_i^2 \right )\...
dd
831
views
dd
asked
Feb 25, 2017
Combinatory
discrete-mathematics
summation
+
–
15
votes
1
answer
2257
GO Classes CS Test Series 2025 | Discrete Mathematics | Topic Wise Test 1 | Question: 2
Consider the following proposition : $\text{A}_{n} = \underbrace{(p \rightarrow (q \rightarrow (p \rightarrow (q \rightarrow (\dots)))))}_{\text{number of p's + number of q's = n}}.$ Which of the following is false for ... $n > 2, \text{A}_{n}$ is Not contingency.
Consider the following proposition :$\text{A}_{n} = \underbrace{(p \rightarrow (q \rightarrow (p \rightarrow (q \rightarrow (\dots)))))}_{\text{number of p’s + number o...
GO Classes
830
views
GO Classes
asked
Apr 14, 2022
Mathematical Logic
goclasses_2025_cs_dm_tw_1
goclasses
mathematical-logic
propositional-logic
easy
1-mark
+
–
0
votes
1
answer
2258
LIC AAO question
Statements: Some boxes are triangles. All Spheres are triangles. All circles are boxes. All triangles are quadrilaterals. Conclusions: Some quadrilaterals are boxes. Some quadrilaterals are triangles. Some triangles are spheres. No circle is quadrilaterals. Options. 1 only 1st follow 2 only 1 ,2 ,3 follows 3 only 3rd follows 4 all follows
Statements:Some boxes are triangles. All Spheres are triangles.All circles are boxes.All triangles are quadrilaterals.Conclusions:Some quadrilaterals are boxes.Some quadr...
himgta
830
views
himgta
asked
Mar 3, 2019
Mathematical Logic
analytical-aptitude
logical-reasoning
statements-follow
+
–
4
votes
1
answer
2259
Propositional Logic
Which of the following is/are TRUE? $(∀x)(∃y) J(x,y) \equiv (∃y)(∀x) J(x,y)$ $(∃x)(∀y) J(x,y) \equiv (∀y)(∃x) J(x,y)$ $(∀x)(∀y) J(x,y) \equiv (∀y)(∀x) J(x,y)$ $(∃x)(∃y) J(x,y) \equiv (∃y)(∃x) J(x,y)$
Which of the following is/are TRUE?$(∀x)(∃y) J(x,y) \equiv (∃y)(∀x) J(x,y)$$(∃x)(∀y) J(x,y) \equiv (∀y)(∃x) J(x,y)$$(∀x)(∀y) J(x,y) \equiv (∀y)(∀x...
Balaji Jegan
830
views
Balaji Jegan
asked
Dec 6, 2018
1
votes
2
answers
2260
Probability question on a pair of dice
I think the ans should be C, but the given answer is A. Anyone can explain please?
I think the ans should be C, but the given answer is A. Anyone can explain please?
khantesh1
830
views
khantesh1
asked
Dec 31, 2015
Combinatory
engineering-mathematics
probability
+
–
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