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Webpage for Combinatory:
Recent questions tagged combinatory
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votes
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ISI kolkata MTech CS 2019
Let $K_n$ denote the complete graph on $n$ vertices, with $n ≥ 3$, and let $u$, $v$, $w$ be three distinct vertices of $K_n$. Determine the number of distinct paths from $u$ to $v$ that do not contain the vertex $w$.
Let $K_n$ denote the complete graph on $n$ vertices, with $n ≥ 3$, and let $u$, $v$, $w$ be three distinct vertices of $K_n$. Determine the number of distinct paths fro...
suvasish114
37
views
suvasish114
asked
2 days
ago
Graph Theory
graph-theory
combinatory
isi2019-pcb-cs
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–
0
votes
1
answer
2
Permutation and combination
Your mother-in-law buys 1000 small gifts to give to relatives for Christmas. Each of the 1000 things in different. There are 25 relatives to give gifts to. How many ways are there to distribute the gifts? The correct answer is $25^{1000}$. I ... ? I know some people may feel its silly question but please trust me many people like me are confused with this doubt.
Your mother-in-law buys 1000 small gifts to give to relatives for Christmas. Each of the 1000 things in different. There are 25 relatives to give gifts to. How many ways ...
rajishu07
89
views
rajishu07
asked
Apr 2
Mathematical Logic
combinatory
engineering-mathematics
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–
0
votes
1
answer
3
Permutation and combination
Çșȇ ʛấẗẻ
137
views
Çșȇ ʛấẗẻ
asked
Feb 15
Mathematical Logic
combinatory
engineering-mathematics
discrete-mathematics
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–
0
votes
0
answers
4
Combinatorics & Probability
A rumor is spread randomly among a group of 10 people by successively having one person call someone, who calls someone, and so on. A person can pass the rumor on to anyone except the individual who just called. (a) By how many different paths can a rumor ... in $N$ calls? (c) What is the probability that if $A$ starts the rumor, then $A$ receives the third calls?
A rumor is spread randomly among a group of 10 people by successively having one person call someone, who calls someone, and so on. A person can pass the rumor on to anyo...
Debargha Mitra Roy
166
views
Debargha Mitra Roy
asked
Feb 8
Combinatory
combinatory
counting
+
–
6
votes
2
answers
5
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 56
The coefficient of $x^6$ in the expansion of $A(x)$ is, where $ A(x)=\frac{x(1+x)}{(1-x)^3} $
The coefficient of $x^6$ in the expansion of $A(x)$ is, where$$A(x)=\frac{x(1+x)}{(1-x)^3}$$
GO Classes
560
views
GO Classes
asked
Feb 5
Combinatory
goclasses2024-mockgate-14
numerical-answers
combinatory
recurrence-relation
2-marks
+
–
4
votes
1
answer
6
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 30
A university's mathematics department has $10$ professors and will offer $20$ different courses next semester. Each professor will be assigned to teach exactly $2$ of the courses, and each course will have exactly one professor assigned to teach it. If any ... $10^{20}-2^{10}$ $\dfrac{20 ! 10 !}{2^{10}}$
A university's mathematics department has $10$ professors and will offer $20$ different courses next semester. Each professor will be assigned to teach exactly $2$ of the...
GO Classes
613
views
GO Classes
asked
Jan 28
Combinatory
goclasses2024-mockgate-13
goclasses
combinatory
counting
1-mark
+
–
6
votes
2
answers
7
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 17
The number of ways that one can divide $10$ distinguishable objects into $3$ indistinguishable non-empty piles, is: $ \left\{\begin{array}{c} 10 \\ 3 \end{array}\right\}=9330 $ In how many different ways can one do this if the piles are also distinguishable?
The number of ways that one can divide $10$ distinguishable objects into $3$ indistinguishable non-empty piles, is:$$\left\{\begin{array}{c}10 \\3\end{array}\right\}=9330...
GO Classes
907
views
GO Classes
asked
Jan 21
Combinatory
goclasses2024-mockgate-12
goclasses
numerical-answers
combinatory
counting
1-mark
+
–
5
votes
2
answers
8
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 18
The number of ways that one can divide $10$ distinguishable objects in $3$ indistinguishable non-empty piles, is: $ \left\{\begin{array}{c} 10 \\ 3 \end{array}\right\}=9330 $ In how many different ways can one do this if the objects are also indistinguishable?
The number of ways that one can divide $10$ distinguishable objects in $3$ indistinguishable non-empty piles, is:$$\left\{\begin{array}{c}10 \\3\end{array}\right\}=9330$$...
GO Classes
919
views
GO Classes
asked
Jan 21
Combinatory
goclasses2024-mockgate-12
goclasses
numerical-answers
combinatory
counting
1-mark
+
–
7
votes
2
answers
9
GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 44
Acceptable input for a certain pocket calculator is a finite sequence of characters each of which is either a digit or a sign. The first character must be a digit, the last character must be a digit, and any character that is a sign must be followed by a digit. There ... by $N_k=a N _{k-1}+b N _{k-2}$, for $k \geq 3$. What is $a+ b?$
Acceptable input for a certain pocket calculator is a finite sequence of characters each of which is either a digit or a sign. The first character must be a digit, the la...
GO Classes
558
views
GO Classes
asked
Jan 13
Combinatory
goclasses2024-mockgate-11
goclasses
numerical-answers
combinatory
recurrence-relation
2-marks
+
–
0
votes
4
answers
10
Made Easy Probability - Let X be a set containing n elements. Three subsets A,B, C of X are chosen at random. The probability that A, B, C are pairwise disjoint is? (What do they mean by pairwise disjoint? and how should I approach this question?)
tishhaagrawal
1.1k
views
tishhaagrawal
asked
Dec 4, 2023
Probability
probability
combinatory
counting
made-easy-test-series
gate-preparation
test-series
engineering-mathematics
self-doubt
bad-question
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–
0
votes
0
answers
11
how many it string of length 10 over the alphabet {a,b,c} have either exactly three a's or exactly four b's
_shreya123
263
views
_shreya123
asked
Nov 18, 2023
Combinatory
combinatory
strings
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–
0
votes
1
answer
12
#self doubt
The number of bit strings of length 8 that will either start with 1 or end with 00 is? (https://gateoverflow.in/15898/isro2014-19) In the ‘either or’ case we will include the ‘and’ case also? means: 1 string starting with 1 2 stating ending with 00 3 strings start with 1 and end with 00 all above cases will be included in either or case or only 1,2 will be included?
The number of bit strings of length 8 that will either start with 1 or end with 00 is? (https://gateoverflow.in/15898/isro2014-19)In the ‘either or’ case we will incl...
Dknights
208
views
Dknights
asked
Oct 27, 2023
Combinatory
combinatory
+
–
0
votes
2
answers
13
Self Doubt
The Total Combinations Possible of Min heap with 8 Distinct elements are ?
The Total Combinations Possible of Min heap with 8 Distinct elements are ?
viral8702
285
views
viral8702
asked
Sep 21, 2023
Programming in C
binary-heap
combinatory
data
data-structures
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–
0
votes
1
answer
14
EXAMS 2023 CO and Architecture
A RISC machine has a clock period of 50ns. 20% of its commands are LOAD and STORE commands. On average, 50% NO-OP instructions and 50% useful instructions are placed in the delay slots of these instructions. In the new model of the machine ... instruction, and only 20% of all delay slots are filled with useful instructions. Which machine is faster and by how much?
A RISC machine has a clock period of 50ns. 20% of its commands are LOAD and STORE commands. On average, 50% NO-OP instructions and 50% useful instructions are placed in t...
Greepes
439
views
Greepes
asked
Sep 19, 2023
CO and Architecture
co-and-architecture
pipelining
combinatory
exam-stress
+
–
2
votes
2
answers
15
GoClasses Youtube
Determine the Number of $6$ digit integers (no leading zeroes) in which no digit is repeated and its divisible by $4$.
Determine the Number of $6$ digit integers (no leading zeroes) in which no digit is repeated and its divisible by $4$.
Swarnava Bose
458
views
Swarnava Bose
asked
Aug 16, 2023
Combinatory
discrete-mathematics
permutation-and-combination
combinatory
+
–
0
votes
1
answer
16
Permutations
Çșȇ ʛấẗẻ
238
views
Çșȇ ʛấẗẻ
asked
Jul 28, 2023
Mathematical Logic
discrete-mathematics
combinatory
mathematical-logic
made-easy-test-series
+
–
2
votes
4
answers
17
Permutation and Combination
In how many ways can 3 non-negative integers be chosen such that a + b + c = 10 where a >= -1 , b >= -5 and c >= 3 ? 36 66 105 None
In how many ways can 3 non-negative integers be chosen such that a + b + c = 10 where a >= -1 , b >= -5 and c >= 3 ? 3666105None
jaydip74
487
views
jaydip74
asked
Jul 22, 2023
Combinatory
combinatory
discrete-mathematics
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–
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