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Recent questions tagged combinatory
0
votes
2
answers
1
Can any one solve this , 6B and 4G ,at least 2 girls should be together in circular arrangement
Shivank121
asked
in
Combinatory
3 days
ago
by
Shivank121
42
views
discrete-mathematics
combinatory
1
vote
0
answers
2
Kenneth Rosen, exercise 6.1, Qs - 42 (d)
How many 4-element DNA sequences contain exactly three of the four bases A, T, C, and G? Solution given: There are four ways to choose which letter is to occur twice and three ways to decide which of the other letters to leave ... wrong. It would be of great help if you can show what combinations my approach is not including but the given solution includes.
Roshakaw
asked
in
Combinatory
Mar 3
by
Roshakaw
75
views
kenneth-rosen
discrete-mathematics
counting
combinatory
0
votes
1
answer
3
#Combinatorics #Self doubt
How many 3 digits number are there which are divisible by 3 and repetition of digits NOT allowed.?
Hattbc
asked
in
Combinatory
Feb 17
by
Hattbc
186
views
counting
combinatory
4
votes
1
answer
4
GATE CSE 2023 | Question: 5
The Lucas sequence $L_{n}$ is defined by the recurrence relation: \[ L_{n}=L_{n-1}+L_{n-2}, \quad \text { for } \quad n \geq 3, \] with $L_{1}=1$ and $L_{2}=3$ ... $L_{n}=\left(\frac{1+\sqrt{5}}{2}\right)^{n}-\left(\frac{1-\sqrt{5}}{2}\right)^{n}$
admin
asked
in
Combinatory
Feb 15
by
admin
890
views
gatecse-2023
combinatory
recurrence-relation
1-mark
4
votes
0
answers
5
GATE CSE 2023 | Question: 38
Let $U=\{1,2, \ldots, n\},$ where $n$ is a large positive integer greater than $1000.$ Let $k$ be a positive integer less than $n$. Let $A, B$ be subsets of $U$ with $|A|=|B|=k$ and $A \cap B=\emptyset$. We say that a permutation of $U$ separates $A$ from $B$ if ... $2\left(\begin{array}{c}n \\ 2 k\end{array}\right)(n-2 k) !(k !)^{2}$
admin
asked
in
Combinatory
Feb 15
by
admin
928
views
gatecse-2023
combinatory
counting
2-marks
0
votes
2
answers
6
GATE CSE 2023 | Memory Based Question: 15
The Lucas sequence $L_n$ is defined by the recurrence relation: $L_n=L_{n-1}+L_{n-2}$, for $n \geq 3$ with $L_1=1$ and $L_2=3$. Which one of the options given is TRUE? $L_n=\left(\frac{1+\sqrt{5}}{2}\right)^n+\left(\frac{1-\sqrt{5}}{3}\right)^n$ ... $L_n=\left(\frac{1+\sqrt{5}}{2}\right)^n+\left(\frac{1-\sqrt{5}}{2}\right)^n$
GO Classes
asked
in
Combinatory
Feb 6
by
GO Classes
446
views
memorybased-gatecse2023
goclasses
combinatory
recurrence-relation
1
vote
1
answer
7
GATE CSE 2023 | Memory Based Question: 16
How many permutations of $U$ separate $A$ from $B?$ $2\left(\begin{array}{c}n \\ 2 k\end{array}\right)(n-2 k) !(k!)^2$ $\left(\begin{array}{c}n \\ 2 k\end{array}\right)(n-2 k)!(n!)$ $n!$ $\left(\begin{array}{c}n \\ 2 k\end{array}\right)(n-2 k) !(k !)^2$
GO Classes
asked
in
Combinatory
Feb 6
by
GO Classes
420
views
memorybased-gatecse2023
goclasses
combinatory
counting
0
votes
1
answer
8
#Combinatorics and Counting # Permutations and Combinations
If each of ‘a’ points on a straight line is joined to each of ‘b’ points on another straight line, excluding the points on the given two lines,then which of the following represents the number of points of intersection of these lines? Select all that apply. (ab(a-1)(b-1))/4 (ab(a-1)(b-1))/2 ab C(a,2) * C(b,2)
lekh
asked
in
Combinatory
Jan 21
by
lekh
70
views
combinatory
counting
0
votes
0
answers
9
#selfdoubt
Let n players enter a chess tournament. How many tournament trees are possible? RULES: a player is eliminated after one loss and games are played until only one entrant is left(assume no ties) My approach: (please check if it is correct) there are 3 possible binary tree skeletons w.r.t ... )C2 * (n-4)C2 *...*1} * 2^(n-1) similarly we can do the remaining cases. Is the above method right?
robinofautumn
asked
in
Combinatory
Jan 11
by
robinofautumn
45
views
discrete-mathematics
graph-theory
combinatory
binary-tree
0
votes
0
answers
10
Unacademy AIMT 1
How many integers are there in the set {1,2,3,…..,1000} with no digit being repeated?
TusharKumar
asked
in
Combinatory
Dec 25, 2022
by
TusharKumar
160
views
combinatory
number-system
0
votes
1
answer
11
Number Of Substrings | Made Easy Test Series
The number of subwords for w=’SCALABLE” is equal to: 34 35 37
Souvik33
asked
in
Combinatory
Dec 21, 2022
by
Souvik33
311
views
combinatory
counting
made-easy-test-series
1
vote
0
answers
12
DRDO CSE 2022 Paper 1 | Question: 14
Derangements are permutations $\pi$ of the set $\{1,2, \ldots, n\}$ such that $\pi(i) \neq i.$ Compute the number of derangements on the set $1,2, \ldots, n$.
admin
asked
in
Combinatory
Dec 15, 2022
by
admin
50
views
drdocse-2022-paper1
combinatory
counting
7-marks
descriptive
1
vote
1
answer
13
DRDO CSE 2022 Paper 1 | Question: 15
What is the generating function corresponding to Fibonacci series. \[F_{n}=F_{n-1}+F_{n-2} .\] Note that $F_{0}=F_{1}=1$.
admin
asked
in
Combinatory
Dec 15, 2022
by
admin
129
views
drdocse-2022-paper1
combinatory
generating-functions
6-marks
descriptive
1
vote
0
answers
14
DRDO CSE 2022 Paper 1 | Question: 16
Let us say we have a supply of $1$ rupee and $2$ rupee coins in large quantities. What is the generating function for the number of ways of giving change with $1$ rupee and $2$ rupee coins.
admin
asked
in
Combinatory
Dec 15, 2022
by
admin
62
views
drdocse-2022-paper1
combinatory
generating-functions
5-marks
descriptive
2
votes
1
answer
15
DRDO CSE 2022 Paper 1 | Question: 18
A gardener wants to buy $3$ neem plants, $5$ rose plants and $1$ banyan plant from a nursery having $7$ neem, $10$ rose and $6$ banyan plants. How many choices does a gardener have?
admin
asked
in
Combinatory
Dec 15, 2022
by
admin
71
views
drdocse-2022-paper1
combinatory
counting
5-marks
descriptive
1
vote
1
answer
16
DRDO CSE 2022 Paper 1 | Question: 19
How many seven digit numbers are possible with exactly four $4 \mathrm{s}?$
admin
asked
in
Combinatory
Dec 15, 2022
by
admin
53
views
drdocse-2022-paper1
combinatory
counting
5-marks
descriptive
0
votes
1
answer
17
Random
Consider a 15 element min-heap which follows these conditions. right child of root is7 and one child of node 3 is 9. Calculate how many min heap possible?
shub2204
asked
in
DS
Nov 30, 2022
by
shub2204
223
views
data-structures
heap
combinatory
0
votes
0
answers
18
UPSC Assistant Director (Systems) Exam
If a password hacker devised a system trying a password entry system by a program which ran once a second. How much time it would take to crack a password consisting of 4 out of the 24 alphabet letters? (a) 40 hrs approximately (b) 46 hrs approximately (c) 52 hrs approximately (d) 58 hrs approximately
Kumar RahulSingh
asked
in
Computer Networks
Nov 28, 2022
by
Kumar RahulSingh
132
views
network-security
combinatory
0
votes
3
answers
19
How many distinct passwords are possible?
An e-mail password must contain three characters. The password has to contain one numeral from 0 to 9, one upper case and one lower case character from the English alphabet. How many distinct passwords are possible? (A) 6,760 (B) 13,520 (C) 40,560 (D) 1,05,456
Vaishnavi Gadhe
asked
in
Quantitative Aptitude
Nov 18, 2022
by
Vaishnavi Gadhe
242
views
combinatory
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