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GATE IT 2005 | Question: 33
Let $A$ be a set with $n$ elements. Let $C$ be a collection of distinct subsets of $A$ such that for any two subsets $S_1$ and $S_2$ in $C$, either $S_1 \subset S_2$ or $S_2\subset S_1$. What is the maximum cardinality of $C?$ $n$ $n+1$ $2^{n-1} + 1$ $n!$
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Set Theory & Algebra
Jun 8, 2021
11.9k
views
gateit-2005
set-theory&algebra
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set-theory
2
answers
2
GATE CSE 2021 Set 1 | Question: 23
A relation $r(A, B)$ in a relational database has $1200$ tuples. The attribute $A$ has integer values ranging from $6$ to $20$, and the attribute $B$ has integer values ranging from $1$ to $20$. Assume that the attributes $A$ and $B$ are independently distributed. The estimated number of tuples in the output of $\sigma _{(A>10)\vee(B=18)}(r)$ is ____________.
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Databases
May 21, 2021
12.9k
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gatecse-2021-set1
databases
sql
numerical-answers
1-mark
7
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3
GATE IT 2005 | Question: 69
In an inventory management system implemented at a trading corporation, there are several tables designed to hold all the information. Amongst these, the following two tables hold information on which items are supplied by which suppliers, and which warehouse ... who do not supply any item supply exactly one item supply one or more items supply two or more items
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Databases
May 19, 2021
14.2k
views
gateit-2005
databases
sql
normal
8
answers
4
GATE IT 2005 | Question: 32
An unbiased coin is tossed repeatedly until the outcome of two successive tosses is the same. Assuming that the trials are independent, the expected number of tosses is $3$ $4$ $5$ $6$
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in
Probability
May 9, 2021
29.7k
views
gateit-2005
probability
binomial-distribution
expectation
normal
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