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Recent questions in Engineering Mathematics
0
votes
1
answer
141
combinatorics problem-2
How many ways are there to distribute 5 distinct toys among 3 children such that every child gets at least 1 toy? answer given is 150. but I'm getting 9. My approach go as follows: step-1 : give 1 toy to all 3 children, now, I am left with (5-3) = ... to either of first or second or third child. thus, toy1 has 3 choices and so do toy2. Therefore, my answer would be 3*3 = 9.
Roshakaw
asked
in
Combinatory
Aug 25, 2022
by
Roshakaw
214
views
combinatory
counting
numerical-answers
1
vote
2
answers
142
Combinatorics
How many ways are there to distribute 10 identical candies among 3 children such that the first child receives at least 2 candies, the second child receives atmost 6 candies and the third child receives atmost 3 candies.
Roshakaw
asked
in
Combinatory
Aug 25, 2022
by
Roshakaw
236
views
combinatory
counting
0
votes
1
answer
143
Engineering Mathematics
Does the given solution is correct: When S is symmetric and transitive, if S contain (3,1),(1,3) then (3,3) should also be present form transitivity. Please verify the solution.
Overflow04
asked
in
Set Theory & Algebra
Aug 23, 2022
by
Overflow04
177
views
engineering-mathematics
ace-test-series
set-theory
5
votes
0
answers
144
Combinatorics : Distinct objects and Distinct boxes
How many ways are there to Distribute 7 distinct objects to 3 Distinct boxes and No box should be Empty Any box can be Empty
[ Jiren ]
asked
in
Combinatory
Aug 22, 2022
by
[ Jiren ]
209
views
combinatory
counting
0
votes
1
answer
145
Engineering Mathematics
why 4^10 is done. solution: Please explain the last portion why 4^ 10 is done.
Overflow04
asked
in
Set Theory & Algebra
Aug 22, 2022
by
Overflow04
122
views
engineering-mathematics
ace-test-series
set-theory
1
vote
0
answers
146
Engineering Mathematics
Please verify the solution(the differentiation part ),
Overflow04
asked
in
Calculus
Aug 21, 2022
by
Overflow04
158
views
calculus
ace-test-series
1
vote
2
answers
147
maths probability
A dice is tossed seven times. What is the probability that all six faces appear at least once?
jugnu1337
asked
in
Probability
Aug 15, 2022
by
jugnu1337
252
views
probability
0
votes
1
answer
148
maths igate test series
Which of the relations below can also be characterized as a function defined on the set I = { 1, 2, 3, 4, 5 } { (x, y) | x, y ∈ I, x < y } B{ (x, y) | x, y ∈ I, x = 1 } C{ (x, y) | x, y ∈ I, x! = y } None of these
jugnu1337
asked
in
Set Theory & Algebra
Aug 15, 2022
by
jugnu1337
167
views
functions
0
votes
1
answer
149
NPTEL Assignment
In how many ways can the word ‘DOCUMENTATION’ be arranged so that all the consonants come together.
simi2426
asked
in
Combinatory
Aug 9, 2022
by
simi2426
293
views
0
votes
1
answer
150
ISI 2020 | PCB Mathematics | Question: 3
Suppose $A$ is an $(n \times n)$ matrix over $\mathbb{R}$ such that $A^{p}=0$ for some positive integer $p$. Prove that $I+A$ is an invertible matrix, where $I$ is the $(n \times n)$ identity matrix. Find the characteristic polynomial of $A$.
Lakshman Patel RJIT
asked
in
Linear Algebra
Aug 8, 2022
by
Lakshman Patel RJIT
72
views
isi2020-pcb-mathematics
descriptive
linear-algebra
matrix
4
votes
1
answer
151
GO Classes Scholarship 2023 | Test | Question: 1
A relation $\text{R}$ on a set $\text{A}$ is said to be Total Relation iff $a\text{R}b$ Or $b\text{R}a$ Or both, for all $a,b \in \mathrm{A}$. Which of the following options is/are false? Every Total relation is ... total and transitive, then $\mathrm{S}$ is an equivalence relation. The number of total relations on a set of $5$ elements is $1024.$
GO Classes
asked
in
Set Theory & Algebra
Aug 7, 2022
by
GO Classes
575
views
goclasses-scholarship-test1
goclasses
set-theory&algebra
relations
multiple-selects
2-marks
2
votes
3
answers
152
GO Classes Scholarship 2023 | Test | Question: 2
Let $\text{S}$ be the set of all bit-strings of length $7 .$ We define a relation $\mathrm{R}$ on the set $\mathrm{S}$ by the rule that $x\mathrm{R}y$ iff $x$ and $y$ ... such that $\forall j \neq i, x_{j}=y_{j}$ and $x_{i} \neq y_{i}$. What is the cardinality of relation $\mathrm{R}$?
GO Classes
asked
in
Set Theory & Algebra
Aug 7, 2022
by
GO Classes
492
views
goclasses-scholarship-test1
numerical-answers
goclasses
set-theory&algebra
relations
2-marks
4
votes
1
answer
153
GO Classes Scholarship 2023 | Test | Question: 3
Let $\text{A, B}$ be two disjoint non-empty sets. Let $\text{M}$ be the universal set and $\text{A} \cup \text{B}$ is a proper subset of $\mathrm{M}$. For any set $\mathrm{S}$, let $\mathrm{S}^{\prime}$ be the set of those elements ...
GO Classes
asked
in
Set Theory & Algebra
Aug 7, 2022
by
GO Classes
282
views
goclasses-scholarship-test1
goclasses
set-theory&algebra
set-theory
multiple-selects
2-marks
5
votes
2
answers
154
GO Classes Scholarship 2023 | Test | Question: 4
Consider a $3 \times 11$ rectangular grid as depicted in Figure $1,$ formed by $33$ tiles of area $1\text{m}^2.$ A staircase walk is a path in the grid which moves only right or up. How many staircase walks are there from $\text{A}$ to $\text{B}$ which start by going to the right two times?
GO Classes
asked
in
Combinatory
Aug 7, 2022
by
GO Classes
308
views
goclasses-scholarship-test1
numerical-answers
goclasses
combinatory
counting
1-mark
4
votes
1
answer
155
GO Classes Scholarship 2023 | Test | Question: 5
Consider $5$ cards, each has a distinct value from the set $\{2,3,4,5,6\},$ so there are $5$ different values, and we put them face down on the table. There are $5$ players and each player is given a number from $2$ ... with the value that player has. If no player loses, then the dealer loses. How many ways are there so that the dealer loses?
GO Classes
asked
in
Combinatory
Aug 7, 2022
by
GO Classes
246
views
goclasses-scholarship-test1
numerical-answers
goclasses
combinatory
counting
2-marks
4
votes
1
answer
156
GO Classes Scholarship 2023 | Test | Question: 6
Consider three boxes and $12$ balls of the same size. We have $3$ indistinguishable red balls and $9$ distinguishable blue balls. The first box can fit at most three balls, the second box can fit at most four balls and the third box can fit ... all the red balls go into the same box. What is the total number of ways to put all the balls in the boxes?
GO Classes
asked
in
Combinatory
Aug 7, 2022
by
GO Classes
288
views
goclasses-scholarship-test1
numerical-answers
goclasses
combinatory
counting
2-marks
3
votes
1
answer
157
GO Classes Scholarship 2023 | Test | Question: 7
Define the generating functions $\text{B}(x)=\displaystyle{} \sum_{n=0}^{\infty} 2^{n} x^{n}$ and $F(x)=\displaystyle{} \sum_{n=0}^{\infty} f_{n} x^{n}$ where $f_{n}$ ... $x^{5}$ is $\mathrm{G}(x)?$
GO Classes
asked
in
Combinatory
Aug 7, 2022
by
GO Classes
317
views
goclasses-scholarship-test1
numerical-answers
goclasses
combinatory
generating-functions
2-marks
3
votes
1
answer
158
GO Classes Scholarship 2023 | Test | Question: 8
In a directed graph $\mathrm{G}=(\mathrm{V}, \mathrm{E})$, two nodes $u$ and $v$ are strongly connected if and only if they are mutually reachable i.e. there is a path from u to $v$ and a path from $v$ to $u$. ... connected components $\dots?$ can not increase can not decrease by more than $1$ can not decrease by more than $2$ may remain unchanged
GO Classes
asked
in
Graph Theory
Aug 7, 2022
by
GO Classes
350
views
goclasses-scholarship-test1
goclasses
graph-theory
graph-connectivity
multiple-selects
1-mark
4
votes
2
answers
159
GO Classes Scholarship 2023 | Test | Question: 9
Consider the following graph $\text{G:}$ Let $\text{M, C, I, S, B, E}$ be the Matching number, chromatic number, independence number, Clique number, Vertex cover number, and edge cover number, respectively of $\text{G}.$ What is $\text{M+C+I+S+B+E}?$
GO Classes
asked
in
Graph Theory
Aug 7, 2022
by
GO Classes
363
views
goclasses-scholarship-test1
numerical-answers
goclasses
graph-theory
graph-connectivity
vertex-cover
2-marks
3
votes
1
answer
160
GO Classes Scholarship 2023 | Test | Question: 10
For which of the following does there exist a graph satisfying the specified conditions? A tree with six vertices and six edges. A tree with three or more vertices, two vertices of degree one, and all the other vertices with degree three or ... with $10$ vertices and $8$ edges. A disconnected graph with $12$ vertices and $11$ edges and no cycle.
GO Classes
asked
in
Graph Theory
Aug 7, 2022
by
GO Classes
248
views
goclasses-scholarship-test1
goclasses
graph-theory
graph-connectivity
multiple-selects
2-marks
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