Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Q&A
Questions
Unanswered
Tags
Subjects
Users
Ask
Previous Years
Blogs
New Blog
Exams
Dark Mode
Filter
User Pineapple
Wall
Recent activity
All questions
All answers
Exams Taken
All Blogs
Recent activity by Pineapple
0
answers
1
kenneth rosen, counting, exercise: 6.5, question: 50
How many ways are there to distribute five distinguishable objects into three indistinguishable boxes?
asked
in
Combinatory
Mar 23, 2023
271
views
discrete-mathematics
kenneth-rosen
0
answers
2
Kenneth Rosen, exercise: 6.2, question: 8
Show that if f is a function from S to T , where S and T are finite sets with |S| > |T |, then there are elements s1 and s2 in S such that f (s1) = f (s2), or in other words, f is not one-to-one. How can I prove it by using “proof by contradiction”? Is it possible to prove the same by using “proof by contraposition”? If yes, how?
asked
in
Combinatory
Mar 23, 2023
265
views
discrete-mathematics
kenneth-rosen
pigeonhole-principle
0
answers
3
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.
asked
in
Combinatory
Mar 3, 2023
1.1k
views
kenneth-rosen
discrete-mathematics
counting
combinatory
3
answers
4
Kenneth Rosen Edition 7 Exercise 6.1 Question 12 (Page No. 396)
How many bit strings are there of length six or less, not counting the empty string?
answer selected
in
Combinatory
Mar 2, 2023
2.9k
views
kenneth-rosen
discrete-mathematics
counting
descriptive
1
answer
5
#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)
answered
in
Combinatory
Feb 17, 2023
317
views
combinatory
counting
1
answer
6
DRDO CSE 2022 Paper 1 | Question: 12
Given two propositions $P$ and $Q$. "if $P$ then $Q$" denoted by $P \rightarrow Q$ is called Implication. Such implication and its ____________ are logically equivalent.
answered
in
Mathematical Logic
Jan 27, 2023
259
views
drdocse-2022-paper1
mathematical-logic
propositional-logic
2-marks
fill-in-the-blanks
1
answer
7
Practice problem on Translations
Given a statement: "At least 1 pigeon-hole has at least 2 pigeons in it". and functions: ph(x) : x is pigeon-hole p(x) : x is pigeon h(x,y) : x has y Answer the following questions: Translate the given statement into logical ... What would be negation of the logical expression we get in part (a). Translate logical expression we get in part (b) to english.
edited
in
Mathematical Logic
Jan 23, 2023
329
views
discrete-mathematics
propositional-logic
2
answers
8
Kenneth Rosen Edition 7 Exercise 2.1 Question 9 (Page No. 125)
Determine whether each of these statements is true or false. $0$ $ \epsilon$ $\phi$ $\phi$ $\epsilon$ {$0$} {$0$} $ \subset$ {$ \phi$} $\phi$ $\subset$ {$0$} {$0$} $\epsilon$ {$0$} {$0$} $\subset$ {$0$} {$\phi$} $\subseteq$ {$\phi$}
answered
in
Mathematical Logic
Jan 22, 2023
475
views
kenneth-rosen
discrete-mathematics
mathematical-logic
propositional-logic
4
answers
9
Kenneth Rosen Edition 7 Exercise 1.2 Question 34 (Page No. 24)
Five friends have access to a chat room. Is it possible to determine who is chatting if the following information is known? Either Kevin or Heather, or both, are chatting. Either Randy or Vijay, but not both, are chatting ... either both chatting or neither is. If Heather is chatting, then so are Abby and Kevin. Explain your reasoning.
answered
in
Mathematical Logic
Jan 20, 2023
8.5k
views
kenneth-rosen
discrete-mathematics
mathematical-logic
propositional-logic
3
answers
10
GATE CSE 2022 | Question: 22
The number of arrangements of six identical balls in three identical bins is _____________ .
commented
in
Combinatory
Sep 2, 2022
10.2k
views
gatecse-2022
numerical-answers
combinatory
balls-in-bins
1-mark
1
answer
11
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.
asked
in
Combinatory
Aug 25, 2022
1.9k
views
combinatory
counting
numerical-answers
2
answers
12
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.
commented
in
Combinatory
Aug 25, 2022
616
views
combinatory
counting
1
answer
13
Mathematics for Natural Science
Suppose $x, y, z > 1$ are integers, let: $p(x,y)$ : $x$ is a factor of $y$ $q(x,y,z)$ : $z$ = $\text{GCD}(x,y)$ $r(x)$ : $x$ is prime. Check if the following argument is valid or not. $(\forall x \exists y)p(x,y) \implies r(x)$ ... $(\exists x)(\forall y)(p(x,y) \lor r(x))$ $\therefore (\forall y)(\exists z)(\exists x)q(x,y,z)$
answered
in
Mathematical Logic
Aug 23, 2022
358
views
mathematical-logic
discrete-mathematics
Subscribe to GATE CSE 2024 Test Series
Subscribe to GO Classes for GATE CSE 2024
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
-tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
Post GATE 2024 Guidance [Counseling tips and resources]
GATE CSE 2024 Result Responses
[Project Contest] Pytorch backend support for MLCommons Cpp Inference implementation
Participating in MLCommons Inference v4.0 submission (deadline is February 23 12pm IST)
IIITH PGEE 2024 Test Series by GO Classes
Subjects
All categories
General Aptitude
(3.5k)
Engineering Mathematics
(10.4k)
Digital Logic
(3.6k)
Programming and DS
(6.2k)
Algorithms
(4.8k)
Theory of Computation
(6.9k)
Compiler Design
(2.5k)
Operating System
(5.2k)
Databases
(4.8k)
CO and Architecture
(4.0k)
Computer Networks
(4.9k)
Artificial Intelligence
(79)
Machine Learning
(48)
Data Mining and Warehousing
(25)
Non GATE
(1.4k)
Others
(2.7k)
Admissions
(684)
Exam Queries
(1.6k)
Tier 1 Placement Questions
(17)
Job Queries
(80)
Projects
(11)
Unknown Category
(870)
64.3k
questions
77.9k
answers
244k
comments
80.0k
users
Recent Blog Comments
category ?
Hi @Arjun sir, I have obtained a score of 591 in ...
download here
Can you please tell about IIT-H mtech CSE self...
Please add your admission queries here:...