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8
votes
1
GATE CSE 2005 | Question: 50
Let $G(x) = \frac{1}{(1-x)^2} = \sum\limits_{i=0}^\infty g(i)x^i$, where $|x| < 1$. What is $g(i)$? $i$ $i+1$ $2i$ $2^i$
answered
in
Combinatory
Jan 9, 2019
8.2k
views
gatecse-2005
normal
generating-functions
1
vote
2
Graph Theory Doubt
If there are exactly 2 vertices x and y of odd degree in a graph G, then there must be a path between x and y, Is this true? Please explain with valid reasons.
answered
in
Graph Theory
Dec 21, 2018
783
views
graph-theory
discrete-mathematics
degree-of-graph
14
votes
3
TIFR CSE 2019 | Part B | Question: 3
A graph is $d$ – regular if every vertex has degree $d$. For a $d$ – regular graph on $n$ vertices, which of the following must be TRUE? $d$ divides $n$ Both $d$ and $n$ are even Both $d$ and $n$ are odd At least one of $d$ and $n$ is odd At least one of $d$ and $n$ is even
answered
in
Graph Theory
Dec 18, 2018
1.6k
views
tifr2019
graph-theory
degree-of-graph
13
votes
4
TIFR CSE 2019 | Part A | Question: 7
What are the last two digits of $1! + 2! + \dots +100!$? $00$ $13$ $30$ $33$ $73$
answered
in
Quantitative Aptitude
Dec 18, 2018
1.3k
views
tifr2019
quantitative-aptitude
modular-arithmetic
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