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Recent questions tagged set-theory
3
votes
1
answer
91
GO Classes 2023 | Weekly Quiz 7 | Question: 12
Let $\text{A, B}$ be two non-empty sets, with cardinality $3,4$ respectively. Let $\text{R}$ be a relation defined on the power set of $\text{A} \times \text{B}.$ Relation $\text{R}$ is reflexive, symmetric, transitive and antisymmetric. How many equivalence classes does relation $\text{R}$ have?
GO Classes
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Set Theory & Algebra
Apr 14, 2022
by
GO Classes
685
views
goclasses_wq7
goclasses
numerical-answers
set-theory&algebra
set-theory
relations
equivalence-class
2-marks
0
votes
2
answers
92
sets - mathematics - made easy test series
A newspaper agent sells the TOI, the HT and the IN in equal numbers to 302 persons. 7 persons get the HT and the IN, 12 get the TOI and the IN, 9 get the TOI and the HT and 3 get all three newspapers. Then the number of persons who get only one paper is ____
atulcse
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in
Set Theory & Algebra
Jan 26, 2022
by
atulcse
2.0k
views
set-theory
made-easy-test-series
0
votes
1
answer
93
Applied Test Series
Consider the following statements S1 and S2 : S1 : The minimal elements of a poset always form an antichain. S2 : The maximal elements of a poset always form an antichain Which of the following is correct? Can someone explain these two with examples? Thank you!
ramakrushna
asked
in
Set Theory & Algebra
Jan 7, 2022
by
ramakrushna
651
views
test-series
discrete-mathematics
set-theory
0
votes
1
answer
94
Nptel Assignment Question
Given p, we want to prove q. Which of the following will suffice: (a) ¬q =⇒ ¬p (b) p ∧ q =⇒ q (c) ¬p ∧ ¬q =⇒ p (d) ¬q =⇒ q (e) p ∧ ¬q ∧ r =⇒ ¬r (f) none of these
rsansiya111
asked
in
Set Theory & Algebra
Dec 3, 2021
by
rsansiya111
375
views
nptel-quiz
discrete-mathematics
set-theory
2
votes
2
answers
95
TIFR CSE 2021 | Part A | Question: 9
Fix $n\geq 6$. Consider the set $\mathcal{C}$ of binary strings $x_{1}, x_{2} \dots x_{n}$ of length $n$ such that the bits satisfy the following set of equalities, all modulo $2$: $x_{i}+x_{i+1}+x_{i+2}=0$ ... $3$ $\left | \mathcal{C} \right |=4$. If $n\geq 6$ is not divisible by $3$ then $\left | \mathcal{C} \right |=1$.
soujanyareddy13
asked
in
Set Theory & Algebra
Mar 25, 2021
by
soujanyareddy13
472
views
tifr2021
set-theory&algebra
set-theory
21
votes
1
answer
96
GATE CSE 2021 Set 2 | Question: 37
For two $n$-dimensional real vectors $P$ and $Q$, the operation $s(P,Q)$ is defined as follows: $s(P,Q) = \displaystyle \sum_{i=1}^n (P[i] \cdot Q[i])$ Let $\mathcal{L}$ be a set of $10$-dimensional non-zero real vectors such that for every pair ... $s(P,Q)=0$. What is the maximum cardinality possible for the set $\mathcal{L}$? $9$ $10$ $11$ $100$
Arjun
asked
in
Set Theory & Algebra
Feb 18, 2021
by
Arjun
7.0k
views
gatecse-2021-set2
set-theory&algebra
set-theory
2-marks
0
votes
1
answer
97
CMI-2018-DataScience-B: 5
For numerical answers, the following forms are acceptable: fractions, decimals, symbolic e.g.:$\left( \begin{array}{c} n \\ r \end{array} \right)^n P_r , n!$ etc. A function $f$ from the set $A$ to itself is said to have a fixed point if $f(i)=i$ ... $A$ is the set $\{a,b,c,d\}$. Find the number of bijective functions from the set $A$ to itself having no fixed point.
soujanyareddy13
asked
in
Others
Jan 29, 2021
by
soujanyareddy13
270
views
cmi2018-datascience
set-theory
discrete-mathematics
2
votes
1
answer
98
NIELIT Scientist B 2020 November: 32
In a class there are 40 students who play at least one game out of Football, Cricket and Badminton. What percentage of students play only one game? $50\%$ $60\%$ $65\%$ $70\%$
gatecse
asked
in
Quantitative Aptitude
Dec 9, 2020
by
gatecse
622
views
nielit-scb-2020
set-theory
2
votes
1
answer
99
NIELIT Scientist B 2020 November: 33
In a class there are 40 students who play at least one game out of Football, Cricket and Badminton. What percentage of students play all the three games? $4\%$ $5\%$ $8\%$ $10\%$
gatecse
asked
in
Quantitative Aptitude
Dec 9, 2020
by
gatecse
825
views
nielit-scb-2020
set-theory
2
votes
1
answer
100
NIELIT 2016 MAR Scientist B - Section C: 23
If $S$ be an infinite set and $S_1\dots\dots ,S_n$ be sets such that $S_1 \cup S_2 \cup \dots \cup S_n =S$, then at least one of the set $S_i$ is a finite set. not more than one of the sets $S_i$ can be finite. at least one of the sets $S_i$ is an infinite set. not more than one of the sets $S_i$ can be infinite.
admin
asked
in
Set Theory & Algebra
Mar 31, 2020
by
admin
526
views
nielit2016mar-scientistb
discrete-mathematics
set-theory&algebra
set-theory
0
votes
1
answer
101
NIELIT 2017 July Scientist B (IT) - Section B: 9
Power set of empty set has exactly _______ subset One Two Zero Three
admin
asked
in
Set Theory & Algebra
Mar 30, 2020
by
admin
468
views
nielit2017july-scientistb-it
discrete-mathematics
set-theory&algebra
set-theory
0
votes
3
answers
102
NIELIT 2017 July Scientist B (IT) - Section B: 11
What is the Cardinality of the Power set of the set $\{0,1,2\}$? $8$ $6$ $7$ $9$
admin
asked
in
Set Theory & Algebra
Mar 30, 2020
by
admin
531
views
nielit2017july-scientistb-it
discrete-mathematics
set-theory&algebra
set-theory
1
vote
1
answer
103
NIELIT 2017 July Scientist B (IT) - Section B: 20
If $A$ and $B$ are two sets and $A \cup B = A \cap B$ then $A=\phi$ $B=\phi$ $A\neq B$ $A=B$
admin
asked
in
Set Theory & Algebra
Mar 30, 2020
by
admin
399
views
nielit2017july-scientistb-it
discrete-mathematics
set-theory&algebra
set-theory
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