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Webpage for Combinatory:
Recent questions tagged combinatory
0
votes
1
answer
151
Ace Book for Discreet Mathematics , Combinatorics.
Number of ways to assign 5 different people in 3 different rooms, so that each room contains at least one person?
Number of ways to assign 5 different people in 3 different rooms, so that each room contains at least one person?
Satyansh
553
views
Satyansh
asked
Sep 22, 2022
Mathematical Logic
combinatory
ace-booklet
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–
0
votes
1
answer
152
Gate@Zeal Test Series 2023
Ans: 211
Ans: 211
SKMAKM
504
views
SKMAKM
asked
Sep 19, 2022
Combinatory
combinatory
+
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2
votes
2
answers
153
Gate@Zeal Test Series 2023
Ans: 43333
Ans: 43333
SKMAKM
451
views
SKMAKM
asked
Sep 19, 2022
Combinatory
combinatory
+
–
0
votes
0
answers
154
PhD Admissions Written Test (Basic)
Consider all permutations of the 16 numbers from 1 to 16 which satisfy the property that every number is placed such that it is either bigger than ALL numbers preceding it or it is smaller than ALL numbers preceding it. The number of such permutations is ________________________
Consider all permutations of the 16 numbers from 1 to 16 which satisfy the property that every number is placed such that it is either bigger than ALL numbers preceding i...
rsansiya111
322
views
rsansiya111
asked
Sep 10, 2022
Others
written-test
admissions
combinatory
+
–
1
votes
1
answer
155
TIFR CSE 2022 | Part B | Question: 9
Let $n \geq 2$ be any integer. Which of the following statements is $\text{FALSE}?$ $n!$ divides the product of any $n$ consecutive integers $\displaystyle{}\sum_{i=0}^n\left(\begin{array}{c}n \\ i\end{array}\right)=2^n$ ... an odd prime, then $n$ divides $2^{n-1}-1$ $n$ divides $\left(\begin{array}{c}2 n \\ n\end{array}\right)$
Let $n \geq 2$ be any integer. Which of the following statements is $\text{FALSE}?$$n!$ divides the product of any $n$ consecutive integers$\displaystyle{}\sum_{i=0}^n\le...
admin
330
views
admin
asked
Sep 1, 2022
Combinatory
tifr2022
combinatory
binomial-theorem
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0
votes
1
answer
156
TIFR CSE 2022 | Part A | Question: 1
A snail crawls up a vertical pole $75$ feet high, starting from the ground. Each day it crawls up $5$ feet, and each night it slides down $4$ feet. When will it first reach the top of the pole? $75^{\text {th}}$ day $74^{\text {th}}$ day $73^{ \text{rd}}$ day $72^{\text {nd }}$ day $71^{\text {st }}$ day
A snail crawls up a vertical pole $75$ feet high, starting from the ground. Each day it crawls up $5$ feet, and each night it slides down $4$ feet. When will it first rea...
admin
582
views
admin
asked
Sep 1, 2022
Combinatory
tifr2022
combinatory
counting
+
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0
votes
1
answer
157
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.
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...
Pineapple
1.9k
views
Pineapple
asked
Aug 25, 2022
Combinatory
combinatory
counting
numerical-answers
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1
votes
2
answers
158
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.
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 cand...
Pineapple
591
views
Pineapple
asked
Aug 25, 2022
Combinatory
combinatory
counting
+
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6
votes
0
answers
159
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
How many ways are there to Distribute 7 distinct objects to 3 Distinct boxes andNo box should be EmptyAny box can be Empty
[ Jiren ]
473
views
[ Jiren ]
asked
Aug 22, 2022
Combinatory
combinatory
counting
+
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7
votes
2
answers
160
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?
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 r...
GO Classes
564
views
GO Classes
asked
Aug 6, 2022
Combinatory
goclasses-scholarship-test1
numerical-answers
goclasses
combinatory
counting
1-mark
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4
votes
1
answer
161
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?
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$ playe...
GO Classes
492
views
GO Classes
asked
Aug 6, 2022
Combinatory
goclasses-scholarship-test1
numerical-answers
goclasses
combinatory
counting
2-marks
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4
votes
1
answer
162
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?
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 ball...
GO Classes
785
views
GO Classes
asked
Aug 6, 2022
Combinatory
goclasses-scholarship-test1
numerical-answers
goclasses
combinatory
counting
2-marks
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3
votes
1
answer
163
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)?$
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}$ is ...
GO Classes
650
views
GO Classes
asked
Aug 6, 2022
Combinatory
goclasses-scholarship-test1
numerical-answers
goclasses
combinatory
generating-functions
2-marks
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4
votes
2
answers
164
GO Classes Scholarship 2023 | Test | Question: 13
Let $\text{T}_{n}$ be the number of ways to arrange cars in a row with $n$ parking spaces if we can use sedans, SUVs, trucks to park such that a truck requires two spaces, whereas a sedan or SUV requires just one space each, and No two ... i.e. initial conditions are already given, hence no need to compute them)
Let $\text{T}_{n}$ be the number of ways to arrange cars in a row with $n$ parking spaces if we can use sedans, SUVs, trucks to park such that a truck requires two spaces...
GO Classes
988
views
GO Classes
asked
Aug 6, 2022
Combinatory
goclasses-scholarship-test1
numerical-answers
goclasses
combinatory
counting
recurrence-relation
2-marks
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2
votes
1
answer
165
dbms+combinatory igate test series question
You have to construct keys of length 2 to 3 characters consisting of upper case alphabets or decimal digits (0 to 9). If each key must contain at least one alphabets, then determine the total number of possible keys.
You have to construct keys of length 2 to 3 characters consisting of upper case alphabets or decimal digits (0 to 9).If each key must contain at least one alphabets, then...
jugnu1337
527
views
jugnu1337
asked
Jul 30, 2022
Databases
combinatory
databases
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1
votes
1
answer
166
Made Easy Test Series
How to solve this question?
How to solve this question?
Abhrajyoti00
431
views
Abhrajyoti00
asked
Jul 24, 2022
Mathematical Logic
made-easy-test-series
combinatory
discrete-mathematics
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0
votes
1
answer
167
Cengage algebra jee advanced.
Coefficient of x^8 in ( (1-x^6)/(1-x) )^3.
Coefficient of x^8 in ( (1-x^6)/(1-x) )^3.
yuyutsu
433
views
yuyutsu
asked
Jul 24, 2022
Combinatory
combinatory
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0
votes
3
answers
168
Discrete Mathematics
Any Good resource to understand this topic.
Any Good resource to understand this topic.
Overflow04
1.2k
views
Overflow04
asked
Jul 11, 2022
Combinatory
combinatory
ace-test-series
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0
votes
1
answer
169
Discrete Mathematics
Somebody please clarify the answer
Somebody please clarify the answer
Overflow04
569
views
Overflow04
asked
Jul 11, 2022
Combinatory
combinatory
ace-test-series
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–
0
votes
0
answers
170
Discrete Mathematics and Combinatorics
Solve the recurrence relation $a^{2}n-5a^{2}_{n-1}+4a^{2} _{n-2}=0$, if $a_{0}=4, a_{1}=13, n>1$
Solve the recurrence relation $a^{2}n-5a^{2}_{n-1}+4a^{2} _{n-2}=0$, if $a_{0}=4, a_{1}=13, n>1$
kidussss
481
views
kidussss
asked
Jul 8, 2022
Combinatory
discrete-mathematics
combinatory
recurrence-relation
+
–
4
votes
1
answer
171
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 2
A set of cards is numbered $1$ through $6.$ Quantity A: The number of ways to pick $3$ of the $6$ cards such that card number $1$ ... Quantity B is greater than Quantity A. The two quantities are equal. The relationship cannot be determined from the information given.
A set of cards is numbered $1$ through $6.$Quantity A: The number of ways to pick $3$ of the $6$ cards such that card number $1$ is included.Quantity B: The number of way...
GO Classes
689
views
GO Classes
asked
Jun 14, 2022
Combinatory
goclasses_wq13
goclasses
combinatory
counting
1-mark
+
–
4
votes
2
answers
172
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 3
Consider the following two combinatorial identities: For all $\mathrm{k}, \mathrm{n} \in \mathrm{N}$ with $\mathrm{k} \leq \mathrm{n}$ ... $1$ Only $2$ Both None
Consider the following two combinatorial identities:For all $\mathrm{k}, \mathrm{n} \in \mathrm{N}$ with $\mathrm{k} \leq \mathrm{n}$,$$\left(\begin{array}{l} n \\ 2 \end...
GO Classes
490
views
GO Classes
asked
Jun 14, 2022
Combinatory
goclasses_wq13
goclasses
combinatory
counting
1-mark
+
–
4
votes
1
answer
173
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 4
We go to a pizza party, and there are $5$ types of pizza. We have been starving for days, so we can eat $13$ slices, but we want to sample each type at least once. In how many ways can we do this? Order does not matter.
We go to a pizza party, and there are $5$ types of pizza. We have been starving for days, so we can eat $13$ slices, but we want to sample each type at least once. In how...
GO Classes
614
views
GO Classes
asked
Jun 14, 2022
Combinatory
goclasses_wq13
numerical-answers
goclasses
combinatory
counting
1-mark
+
–
3
votes
1
answer
174
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 5
How many integer solutions does the equation $ x_{1}+x_{2}+x_{3}+x_{4}=15 $ have, if we require that $x_{1} \geq 2, x_{2} \geq 3, x_{3} \geq 10$ and $x_{4} \geq-3 ?$
How many integer solutions does the equation$$x_{1}+x_{2}+x_{3}+x_{4}=15$$have, if we require that $x_{1} \geq 2, x_{2} \geq 3, x_{3} \geq 10$ and $x_{4} \geq-3 ?$
GO Classes
385
views
GO Classes
asked
Jun 14, 2022
Combinatory
goclasses_wq13
numerical-answers
goclasses
combinatory
counting
1-mark
+
–
5
votes
1
answer
175
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 6
How many integer solutions are there to the system of inequalities $ x_{1}+x_{2}+x_{3}+x_{4} \leq 15, \quad x_{1}, \ldots, x_{4} \geq 0 ? $
How many integer solutions are there to the system of inequalities$$x_{1}+x_{2}+x_{3}+x_{4} \leq 15, \quad x_{1}, \ldots, x_{4} \geq 0 ?$$
GO Classes
511
views
GO Classes
asked
Jun 14, 2022
Combinatory
goclasses_wq13
numerical-answers
goclasses
combinatory
counting
1-mark
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