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Recent questions tagged counting
1
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1
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
2
answers
2
Discrete Maths by Kenneth Rosen, exercise 6.1, Qs - 12
How many bit strings are there of length six or less, not counting the empty string? Solution given:- We use the sum rule, adding the number of bit strings of each length up to 6. If we include the empty string, then we get 2^0 ... a binary string such as 000100 of length 3, and so on Please let me know if I am wrong somewhere in my approach.
Roshakaw
asked
in
Combinatory
Mar 2
by
Roshakaw
63
views
discrete-mathematics
kenneth-rosen
counting
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
0
answers
4
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
929
views
gatecse-2023
combinatory
counting
2-marks
1
vote
1
answer
5
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
6
#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
1
answer
7
Operating System
How c came into picture.
Overflow04
asked
in
Operating System
Dec 31, 2022
by
Overflow04
90
views
operating-system
counting
deadlock-prevention-avoidance-detection
test-series
0
votes
1
answer
8
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
1
answer
9
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
Rajender gill
asked
in
Set Theory & Algebra
Dec 19, 2022
by
Rajender gill
292
views
set-theory&algebra
counting
functions
1
vote
0
answers
10
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
2
votes
1
answer
11
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
12
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
13
Solve the simultaneous recurrence relations
an = an−1 + bn−1 bn = an−1 − bn−1 with a0 = 1 and b0 = 2.
chinman12
asked
in
Combinatory
Nov 25, 2022
by
chinman12
159
views
discrete-mathematics
counting
recurrence-relation
descriptive
0
votes
0
answers
14
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?
JustPakYt
asked
in
Computer Networks
Nov 14, 2022
by
JustPakYt
557
views
computer-networks
network-security
deadlock-prevention-avoidance-detection
counting
0
votes
0
answers
15
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
asked
in
Operating System
Nov 7, 2022
by
damz1499
336
views
deadlock-prevention-avoidance-detection
combinatory
counting
1
vote
1
answer
16
igate test series
Selection of how many integers from the first ten positive integers (1, 2, ...) guarantees that there must be a pair of these integers with a sum equal to 11 ?
jugnu1337
asked
in
Combinatory
Sep 7, 2022
by
jugnu1337
245
views
discrete-mathematics
counting
test-series
0
votes
1
answer
17
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
Lakshman Patel RJIT
asked
in
Combinatory
Sep 1, 2022
by
Lakshman Patel RJIT
261
views
tifr2022
combinatory
counting
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