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Search results for sets
1
votes
2
answers
1
ISI2014-DCG-35
Let $A$ and $B$ be disjoint sets containing $m$ and $n$ elements respectively, and let $C=A \cup B$. Then the number of subsets $S$ (of $C$) which contains $p$ elements and also has the property that $S \cap A$ contains $q$ ... $\begin{pmatrix} m \\ p-q \end{pmatrix} \times \begin{pmatrix} n \\ q \end{pmatrix}$
Let $A$ and $B$ be disjoint sets containing $m$ and $n$ elements respectively, and let $C=A \cup B$. Then the number of subsets $S$ (of $C$) which contains $p$ elements a...
Arjun
1.2k
views
Arjun
asked
Sep 23, 2019
Set Theory & Algebra
isi2014-dcg
set-theory
disjoint-sets
+
–
2
votes
1
answer
2
TIFR CSE 2019 | Part A | Question: 6
A function $f: \mathbb{R} \rightarrow \mathbb{R}$ is said to be $\textit{convex}$ if for all $x,y \in \mathbb{R}$ and $\lambda$ such that $0 \leq \lambda \leq1,$ $f(\lambda x+ (1-\lambda)y) \leq \lambda f (x) + (1-\lambda) f(y)$. Let $f:$\ ... . Which of the functions $p,q$ and $r$ must be convex? Only $p$ Only $q$ Only $r$ Only $p$ and $r$ Only $q$ and $r$
A function $f: \mathbb{R} \rightarrow \mathbb{R}$ is said to be $\textit{convex}$ if for all $x,y \in \mathbb{R}$ and $\lambda$ such that $0 \leq \lambda \leq1,$ $f(...
Arjun
1.0k
views
Arjun
asked
Dec 18, 2018
Set Theory & Algebra
tifr2019
set-theory&algebra
functions
convex-sets-functions
non-gate
+
–
1
votes
1
answer
3
Relational Model
Suppose that we have a relation schema R(A, B, C) representing a relationship between two entity sets with keys A and B, respectively and suppose that R has the FD: A $\rightarrow$ B, then the relationship in relational model possible is __________ . A. One to many B. One to one C. Many to one D. Many to many
Suppose that we have a relation schema R(A, B, C) representing a relationship between two entity sets with keys A and B, respectively and suppose that R has the FD: A $\r...
Samujjal Das
739
views
Samujjal Das
asked
Nov 12, 2016
Databases
databases
relational-model
entity-sets
+
–
2
votes
0
answers
4
TIFR CSE 2014 | Part A | Question: 12
Let $f(x)= 2^{x}$. Consider the following inequality for real numbers $a, b$ and $0 < \lambda < 1$: $f(\lambda a + b) \leq \lambda f(a) + (1 - \lambda) f (\frac{b}{1 - \lambda})$. Consider the ... $(2)$. The above inequality holds under all the three conditions. The above inequality holds under none of the three conditions.
Let $f(x)= 2^{x}$. Consider the following inequality for real numbers $a, b$ and $0 < \lambda < 1$:$f(\lambda a + b) \leq \lambda f(a) + (1 - \lambda) f (\frac{b}{1 - \la...
makhdoom ghaya
494
views
makhdoom ghaya
asked
Nov 14, 2015
Quantitative Aptitude
tifr2014
quantitative-aptitude
convex-sets-functions
non-gate
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–
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