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Recent questions tagged counting
3
votes
2
answers
61
GO Classes 2023 | IIITH Mock Test 1 | Question: 4
How many ways are there to arrange the $12$ letters of $\text{AAABBBBCCCCC}$ without having two $\text{Cs}$ together? $2652$ $1960$ $1826$ $2260$
How many ways are there to arrange the $12$ letters of $\text{AAABBBBCCCCC}$ without having two $\text{Cs}$ together?$2652$$1960$$1826$$2260$
GO Classes
625
views
GO Classes
asked
Mar 26, 2023
Combinatory
goclasses2023-iiith-mock-1
goclasses
combinatory
counting
1-mark
+
–
2
votes
1
answer
62
GO Classes 2023 | IIITH Mock Test 1 | Question: 96
All the rearrangements of the word $\text{“DEMAND"}$ are written without including any word that has two $\text{D’s}$ appearing together. If these are arranged alphabetically, what would be the rank of $\text{“DEMAND"}?$ $36$ $74$ $42$ $86$
All the rearrangements of the word $\text{“DEMAND"}$ are written without including any word that has two $\text{D’s}$ appearing together. If these are arranged alphab...
GO Classes
522
views
GO Classes
asked
Mar 26, 2023
Quantitative Aptitude
goclasses2023-iiith-mock-1
goclasses
quantitative-aptitude
combinatory
counting
1-mark
+
–
4
votes
1
answer
63
TIFR CSE 2023 | Part A | Question: 2
How many distinct rectangles can be formed using the vertices in the grid shown below? Squares are also counted as rectangles, and two rectangles are distinct if either their top-left vertices are different or their bottom-right vertices are different. ... $16$ $25$ $36$ $64$ $100$
How many distinct rectangles can be formed using the vertices in the grid shown below? Squares are also counted as rectangles, and two rectangles are distinct if either t...
admin
656
views
admin
asked
Mar 14, 2023
Combinatory
tifr2023
combinatory
counting
+
–
3
votes
0
answers
64
TIFR CSE 2023 | Part A | Question: 12
Suppose is a piece on a chess board that attacks squares that are exactly two steps in the vertical direction, and squares that are adjacent horizontally (as marked with a "*" figure in the image below) What is the maximum number of these pieces that can ... other? (Note that each square is allowed to contain at most one piece.) $4$ $8$ $16$ $24$ $32$
Suppose is a piece on a chess board that attacks squares that are exactly two steps in the vertical direction, and squares that are adjacent horizontally (as marked with...
admin
469
views
admin
asked
Mar 14, 2023
Combinatory
tifr2023
combinatory
counting
+
–
1
votes
0
answers
65
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.
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 t...
Pineapple
1.1k
views
Pineapple
asked
Mar 3, 2023
Combinatory
kenneth-rosen
discrete-mathematics
counting
combinatory
+
–
1
votes
1
answer
66
#Combinatorics #Self doubt
How many 3 digits number are there which are divisible by 3 and repetition of digits NOT allowed.?
How many 3 digits number are there which are divisible by 3 and repetition of digits NOT allowed.?
Hattbc
491
views
Hattbc
asked
Feb 17, 2023
Combinatory
counting
combinatory
+
–
14
votes
3
answers
67
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}$
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|...
admin
6.3k
views
admin
asked
Feb 15, 2023
Combinatory
gatecse-2023
combinatory
counting
2-marks
+
–
1
votes
1
answer
68
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$
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...
GO Classes
992
views
GO Classes
asked
Feb 5, 2023
Combinatory
memorybased-gatecse2023
goclasses
combinatory
counting
+
–
0
votes
1
answer
69
#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)
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 f...
lekh
310
views
lekh
asked
Jan 21, 2023
Combinatory
combinatory
counting
+
–
0
votes
1
answer
70
Operating System
How c came into picture.
How c came into picture.
Overflow04
315
views
Overflow04
asked
Dec 31, 2022
Operating System
operating-system
counting
deadlock-prevention-avoidance-detection
test-series
+
–
0
votes
1
answer
71
Number Of Substrings | Made Easy Test Series
The number of subwords for w=’SCALABLE” is equal to: 34 35 37
The number of subwords for w=’SCALABLE” is equal to:343537
Souvik33
833
views
Souvik33
asked
Dec 21, 2022
Combinatory
combinatory
counting
made-easy-test-series
+
–
1
votes
1
answer
72
Unacademy All India Mock 18 Dec. 2022.Counting
Let S={0,1,2,3,….,9}. The number of subsets of 5 contains at least two even numbers? HELP ANYONE Ans.-832
Let S={0,1,2,3,….,9}. The number of subsets of 5 contains at least two even numbers? HELP ANYONE Ans.-832
Rajender gill
620
views
Rajender gill
asked
Dec 19, 2022
Set Theory & Algebra
set-theory&algebra
counting
functions
+
–
1
votes
0
answers
73
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 $1,2, \ldots, n$.
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
168
views
admin
asked
Dec 15, 2022
Combinatory
drdocse-2022-paper1
combinatory
counting
7-marks
descriptive
+
–
2
votes
1
answer
74
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?
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 gar...
admin
304
views
admin
asked
Dec 15, 2022
Combinatory
drdocse-2022-paper1
combinatory
counting
5-marks
descriptive
+
–
1
votes
1
answer
75
DRDO CSE 2022 Paper 1 | Question: 19
How many seven digit numbers are possible with exactly four $4 \mathrm{s}?$
How many seven digit numbers are possible with exactly four $4 \mathrm{s}?$
admin
343
views
admin
asked
Dec 15, 2022
Combinatory
drdocse-2022-paper1
combinatory
counting
5-marks
descriptive
+
–
0
votes
1
answer
76
Solve the simultaneous recurrence relations
an = an−1 + bn−1 bn = an−1 − bn−1 with a0 = 1 and b0 = 2.
an = an−1 + bn−1bn = an−1 − bn−1with a0 = 1 and b0 = 2.
chinman12
364
views
chinman12
asked
Nov 25, 2022
Combinatory
discrete-mathematics
counting
recurrence-relation
descriptive
+
–
0
votes
0
answers
77
Consider a Diffie-Hellman scheme with a common prime q=11 and a primitive root a=2. a. If user A as public key YA=9 what is as private key XA? b. If user B has public key YB= 3 what is the shared secret key K?
Consider a Diffie-Hellman scheme with a common prime q=11 and a primitive root a=2. If user A as public key YA=9 what is as private key XA? If user B has public key YB= 3...
JustPakYt
1.2k
views
JustPakYt
asked
Nov 13, 2022
Computer Networks
computer-networks
network-security
deadlock-prevention-avoidance-detection
counting
+
–
0
votes
0
answers
78
Consider a system having 22 resources of the same type. These resources are shared by 4 processes P, Q, Rand Shaving peak demands of 3, 6, a and b respectively. How many ordered pairs (a, b) are possible, such that the system is deadlock free?
damz1499
1.1k
views
damz1499
asked
Nov 7, 2022
Operating System
deadlock-prevention-avoidance-detection
combinatory
counting
+
–
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