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Made Easy Test Series:Lattice
The number of totally ordered set compatible to the given POSET are __________
asked
May 20
in
Set Theory & Algebra
by
srestha
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114k
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29
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madeeasytestseries
lattice
0
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1
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2
Discrete mathematics #TEST_BOOK
I Have doubt about the language. Is it asking about the sum of elements if we make the GBL set for the given lattice .
asked
May 20
in
Set Theory & Algebra
by
Shawn Frost
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41
points)

25
views
#discrete
#lattice
+1
vote
1
answer
3
GateForum Question Bank :Graph Theory
What is the probability that there is an edge in an undirected random graph having 8 vertices? 1 1/8
asked
May 19
in
Graph Theory
by
Hirak
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51
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graphtheory
discretemathematics
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2
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4
Made Easy Test Series:Discrete MathematicsPoset
Consider the following Posets: $I)\left ( \left \{ 1,2,5,7,10,14,35,70 \right \},\leq \right )$ $II)\left ( \left \{ 1,2,3,6,14,21,42 \right \},/ \right )$ $III)\left ( \left \{ 1,2,3,6,11,22,33,66 \right \},/ \right )$ Which of the above poset are isomorphic to $\left ( P\left ( S \right ),\subseteq \right )$ where $S=\left \{ a,b,c \right \}?$
asked
May 18
in
Set Theory & Algebra
by
srestha
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114k
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30
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poset
madeeasytestseries
discretemathematics
0
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0
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5
Self Doubt:Mathematical Logic
Represent these two statement in first order logic: $A)$ Only Alligators eat humans $B)$ Every Alligator eats humans Is Every represents $\equiv \exists$ and Only represents $\equiv \forall$ ?? Can we differentiate it with verb ‘eat’ and ‘eats’??
asked
May 18
in
Mathematical Logic
by
srestha
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114k
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13
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discretemathematics
mathematicallogic
firstorderlogic
0
votes
0
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6
Discrete Mathematics by Kenneth Rosen,section2.4,recursive functions
$C_{a}^{k}:\mathbb{N}^{k}\rightarrow \mathbb{N}$ I am studying discrete math from beginnings and came across this term in primitive recursive function.I don't know what $C_{a}^{k}$ means and does $\mathbb{N}$ means set of natural numbers?Someone please help me out.
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May 15
in
Set Theory & Algebra
by
souren
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21
points)

31
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discretemathematics
settheory&algebra
kennethrosen
0
votes
1
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7
Recurrence Relation SelfDoubt
What will be solution of recurrence relation if roots are like this: r1=2, r2=2, r3=2, r4=2 is this the case of repetitive roots?
asked
May 14
in
Combinatory
by
aditi19
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3.5k
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28
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relations
recurrence
recurrenceeqation
discretemathematics
combinational
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0
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8
Rosen 7e Exercise 8.2 Questionno26 page no525 Recurrence Relation
What is the general form of the particular solution guaranteed to exist of the linear nonhomogeneous recurrence relation $a_n$=$6a_{n1}$$12a_{n2}$+$8a_{n3}$+F(n) if F(n)=$n^2$ F(n)=$2^n$ F(n)=$n2^n$ F(n)=$(2)^n$ F(n)=$n^22^n$ F(n)=$n^3(2)^n$ F(n)=3
asked
May 14
in
Combinatory
by
aditi19
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3.5k
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24
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kennethrosen
discretemathematics
#recurrencerelations
recurrence
0
votes
0
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9
Rosen 7e Exercise8.2 Question no23 page no525 Recurrence Relation
Consider the nonhomogeneous linear recurrence relation $a_n$=$3a_{n1}$+$2^n$ in the book solution is given $a_n$=$2^{n+1}$ but I’m getting $a_n$=$3^{n+1}2^{n+1}$
asked
May 13
in
Combinatory
by
aditi19
Active
(
3.5k
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17
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kennethrosen
discretemathematics
#recurrencerelations
recurrence
0
votes
2
answers
10
#probability(self doubt)
An automobile showroom has 10 cars, 2 of which are defective. If you are going to buy the 6th car sold that day at random, then the probability of selecting a defective car is??
asked
May 13
in
Combinatory
by
G Shaheena
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1.2k
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30
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#probability
self
doubt
0
votes
1
answer
11
ACE Workbook:
ACE Workbook: Q) Let G be a simple graph(connected) with minimum number of edges. If G has n vertices with degree1,2 vertices of degree 2, 4 vertices of degree 3 and 3 vertices of degree4, then value of n is ? Can anyone give the answer and how to approach these problems. Thanks in advance.
asked
May 12
in
Graph Theory
by
chandan2teja
(
23
points)

37
views
graphtheory
0
votes
1
answer
12
ISI2018PCBB3
An $n$variable Boolean function $f:\{0,1\}^n \rightarrow \{0,1\} $ is called symmetric if its value depends only on the number of $1’s$ in the input. Let $\sigma_n $ denote the number of such functions. Calculate the value of $\sigma_4$. Derive an expression for $\sigma_n$ in terms of $n$.
asked
May 12
in
Set Theory & Algebra
by
akash.dinkar12
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40.5k
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10
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isi2018pcbb
engineeringmathematics
discretemathematics
settheory&algebra
functions
descriptive
0
votes
1
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13
ISI2018PCBA4
Let $A$ and $B$ are two nonempty finite subsets of $\mathbb{Z}$, the set of all integers. Define $A+B=\{a+b:a\in A,b\in B\}$.Prove that $A+B\geq A +B 1 $, where $S$ denotes the cardinality of finite set $S$.
asked
May 12
in
Set Theory & Algebra
by
akash.dinkar12
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40.5k
points)

16
views
isi2018pcba
engineeringmathematics
discretemathematics
settheory&algebra
descriptive
+1
vote
1
answer
14
ISI2018MMA26
Let $C_i(i=0,1,2...n)$ be the coefficient of $x^i$ in $(1+x)^n$.Then $\frac{C_0}{2} – \frac{C_1}{3}+\frac{C_2}{4}\dots +(1)^n \frac{C_n}{n+2}$ is equal to $\frac{1}{n+1}\\$ $\frac{1}{n+2}\\$ $\frac{1}{n(n+1)}\\$ $\frac{1}{(n+1)(n+2)}$
asked
May 11
in
Combinatory
by
akash.dinkar12
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(
40.5k
points)

99
views
isi2018
engineeringmathematics
discretemathematics
generatingfunctions
0
votes
1
answer
15
ISI2018MMA15
Let $G$ be a finite group of even order. Then which of the following statements is correct? The number of elements of order $2$ in $G$ is even The number of elements of order $2$ in $G$ is odd $G$ has no subgroup of order $2$ None of the above.
asked
May 11
in
Set Theory & Algebra
by
akash.dinkar12
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40.5k
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8
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isi2018
engineeringmathematics
discretemathematics
settheory&algebra
groups
0
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1
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16
ISI2018MMA10
A new flag of ISI club is to be designed with $5$ vertical strips using some or all of the four colors: green, maroon, red and yellow. In how many ways this can be done so that no two adjacent strips have the same color? $120$ $324$ $424$ $576$
asked
May 11
in
Combinatory
by
akash.dinkar12
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40.5k
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20
views
isi2018
engineeringmathematics
discretemathematics
permutationsandcombinations
0
votes
0
answers
17
Rosen 7e Exercise9.6 Question no27 page no631
What is the covering relation of the partial ordering {(A, B)  A ⊆ B} on the power set of S, where S = {a, b, c}? i'm getting R={(Ф, {a}), (Ф, {b}), (Ф, {c}), (Ф, {a, b}), (Ф, {b, c}), (Ф, {a, c}), (Ф, {a, b, c}), ({a}, {a, b}), ({a}, {a, c}), ({b}, ... b, c}), ({c}, {a, c}), ({c}, {b, c}), ({a, b}, {a, b, c}), ({a, c}, {a, b, c})({b, c}, {a, b, c})
asked
May 10
in
Set Theory & Algebra
by
aditi19
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3.5k
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39
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kennethrosen
discretemathematics
relations
settheory&algebra
settheory
sets
+1
vote
0
answers
18
Which Statement is correct for the given sets statements
If A, B, C are three sets then which of the following is TRUE ? If ( A ∩ C ) = ( B ∩ C ) then A = B If ( A ∪ C ) = ( B ∪ C ) then A = B If ( A ? C ) = ( B ? C ) then A = B If ( A – C ) = ( B – C ) then A = B
asked
May 10
in
Set Theory & Algebra
by
pranay91331
(
43
points)

25
views
settheory&algebra
sets
discretemathematics
0
votes
0
answers
19
self doubt consistency and satisfiability
how can we link consistency and satisfiability ? are they bidirectional? plz help
asked
May 10
in
Mathematical Logic
by
Manoj Kumar Pandey
(
179
points)

14
views
consistency
satisfiability
0
votes
0
answers
20
A first course in probability by Sheldon Ross
What are the relevant chapter of probability by sheldon ross to study for gate? I think whole syllabus is within chapter 5,Should i study everything upto chapter 5 or there are some topics that can be skipped.
asked
May 8
in
Combinatory
by
souren
(
21
points)

21
views
probability
sheldonross
0
votes
2
answers
21
ISI2019MMA27
A general election is to be scheduled on $5$ days in May such that it is not scheduled on two consecutive days. In how many ways can the $5$ days be chosen to hold the election? $\begin{pmatrix} 26 \\ 5 \end{pmatrix}$ $\begin{pmatrix} 27 \\ 5 \end{pmatrix}$ $\begin{pmatrix} 30 \\ 5 \end{pmatrix}$ $\begin{pmatrix} 31 \\ 5 \end{pmatrix}$
asked
May 7
in
Combinatory
by
Sayan Bose
Loyal
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6.9k
points)

2.7k
views
isi2019
engineeringmathematics
discretemathematics
permutationsandcombinations
0
votes
2
answers
22
ISI2019MMA20
Suppose that the number plate of a vehicle contains two vowels followed by four digits. However, to avoid confusion, the letter ‘O’ and the digit ‘0’ are not used in the same number plate. How many such number plates can be formed? $164025$ $190951$ $194976$ $219049$
asked
May 7
in
Combinatory
by
Sayan Bose
Loyal
(
6.9k
points)

280
views
isi2019
engineeringmathematics
discretemathematics
permutationsandcombinations
+1
vote
1
answer
23
ISI2019MMA19
Let $G =\{a_1,a_2, \dots ,a_{12}\}$ be an Abelian group of order $12$ . Then the order of the element $ ( \prod_{i=1}^{12} a_i)$ is $1$ $2$ $6$ $12$
asked
May 7
in
Set Theory & Algebra
by
Sayan Bose
Loyal
(
6.9k
points)

159
views
isi2019
engineeringmathematics
discretemathematics
settheory&algebra
groups
0
votes
1
answer
24
ISI2019MMA4
Suppose that $6$digit numbers are formed using each of the digits $1, 2, 3, 7, 8, 9$ exactly once. The number of such $6$digit numbers that are divisible by $6$ but not divisible by $9$ is equal to $120$ $180$ $240$ $360$
asked
May 6
in
Combinatory
by
Sayan Bose
Loyal
(
6.9k
points)

172
views
isi2019
engineeringmathematics
discretemathematics
permutationsandcombinations
0
votes
1
answer
25
ISI2019MMA2
The number of $6$ digit positive integers whose sum of the digits is at least $52$ is $21$ $22$ $27$ $28$
asked
May 6
in
Combinatory
by
Sayan Bose
Loyal
(
6.9k
points)

212
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isi2019
engineeringmathematics
discretemathematics
permutationsandcombinations
0
votes
1
answer
26
IIT Madras MS written test 2019
Which of the following infinite sets have the same cardinality? $\mathbb{N}$ : Set of Natural numbers $\mathbb{E}$ : Set of Even numbers $\mathbb{Q}$ : Set of Rational numbers $\mathbb{R}$ : Set of Real numbers $\mathbb{N}$ and $\mathbb{E}$ $\mathbb{Q}$ and $\mathbb{R}$ $\mathbb{R}$ and $\mathbb{N}$ None of the above
asked
May 2
in
Set Theory & Algebra
by
SPluto
Junior
(
609
points)

72
views
iitmadras
ms
writtentest
2019
0
votes
0
answers
27
Discrete mathematics and its application 7th ed  Kenneth H. Rosen
Do i have to study the whole chapter Logics and Proofs in Discrete mathematics and its applications by Kenneth H. Rosen if not upto which portion should i study.
asked
May 1
in
Mathematical Logic
by
souren
(
21
points)

31
views
discretemathematics
mathematicallogic
0
votes
0
answers
28
Rosen 7e Recurrence Relation Exercise8.1 Question no25 page no511
How many bit sequences of length seven contain an even number of 0s? I'm trying to solve this using recurrence relation Is my approach correct? Let T(n) be the string having even number of 0s T(1)=1 {1} T(2)=2 {00, 11} T(3)=4 {001, ... add 0 to strings of length n1 having odd number of 0s T(n)=T(n1) Hence, we have T(n)=2T(n1)
asked
Apr 29
in
Combinatory
by
aditi19
Active
(
3.5k
points)

34
views
kennethrosen
discretemathematics
permutationsandcombinations
#recurrencerelations
recurrence
0
votes
0
answers
29
Difference between DAG and Multistage graph
I have trouble understanding the difference between DAG and Multistage graph. I know what each of them is But I think that a multistage graph is also a DAG. Are multistage graphs a special kind of DAG?
asked
Apr 28
in
Graph Theory
by
gmrishikumar
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(
1.8k
points)

37
views
graphtheory
graphalgorithms
graphconnectivity
multistagegraph
directedacyclicgraph
dag
0
votes
1
answer
30
Rosen 7e Exercise8.1 Question no10 Page no511
Find a recurrence relation for the number of bit strings of length n that contain the string 01.
asked
Apr 28
in
Combinatory
by
aditi19
Active
(
3.5k
points)

33
views
kennethrosen
discretemathematics
combinatory
#recurrencerelations
recurrence
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