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Recent questions tagged set-theory
0
votes
1
answer
31
Discrete Mathematics | Set Theory | Equivalent Relation
Debargha Mitra Roy
206
views
Debargha Mitra Roy
asked
Sep 23, 2023
Set Theory & Algebra
discrete-mathematics
set-theory
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–
0
votes
0
answers
32
Set Theory
Çșȇ ʛấẗẻ
111
views
Çșȇ ʛấẗẻ
asked
Aug 28, 2023
Mathematical Logic
set
set-theory
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–
0
votes
1
answer
33
let a = {2,4,6,8} suppose b is a set with |b| = 5 what are the smallest and largest possible values of |A*B|
let a = {2,4,6,8} suppose b is a set with |b| = 5 what are the smallest and largest possible values of |A*B|
ayushjain321
383
views
ayushjain321
asked
Jun 10, 2023
Others
discrete-mathematics
set-theory
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–
3
votes
1
answer
34
TIFR CSE 2023 | Part A | Question: 10
Let $Q$ be a set with $n$ elements. Consider a system with states of the form $(S, R)$ where $S \subseteq Q$ and $R \subseteq Q$, with the further restriction that $R \subseteq S$. Note that $(\emptyset, \emptyset)$ is also a valid state of the system (here $\emptyset$ ... have? $3^{n}$ $2^{n}$ $4^{n}$ $n^{3}$ $\left(\begin{array}{l}n \\ 3\end{array}\right)$
Let $Q$ be a set with $n$ elements. Consider a system with states of the form $(S, R)$ where $S \subseteq Q$ and $R \subseteq Q$, with the further restriction that $R \su...
admin
376
views
admin
asked
Mar 14, 2023
Set Theory & Algebra
tifr2023
set-theory&algebra
set-theory
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3
votes
1
answer
35
TIFR CSE 2023 | Part A | Question: 11
We are given a set $S=\left\{x_{1}, \ldots, x_{n}\right\}$ of distinct positive integers such that $\operatorname{gcd}\left(x_{i}, x_{j}\right)= 1$ for any $i, j \in\{1, \ldots, n\}$ where $i \neq j$. What is the total number of invertible $2 \times 2$ matrices whose entries are ... $n^{2}(n-1)^{2} / 4$ $n(n-1)(n-2)(n-3)$ $n(n-1)(n-2)(n-3) / 4$ !
We are given a set $S=\left\{x_{1}, \ldots, x_{n}\right\}$ of distinct positive integers such that $\operatorname{gcd}\left(x_{i}, x_{j}\right)= 1$ for any $i, j \in\{1, ...
admin
320
views
admin
asked
Mar 14, 2023
Set Theory & Algebra
tifr2023
set-theory&algebra
set-theory
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–
0
votes
1
answer
36
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
1.1k
views
gund pragati sunil
asked
Mar 10, 2023
Mathematical Logic
mathematical-logic
set-theory
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