The Gateway to Computer Science Excellence
For all GATE CSE Questions
Toggle navigation
Email or Username
Password
Remember
Login
Register

I forgot my password
Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
Prev
Blogs
New Blog
Exams
Recent questions tagged combinatory
Webpage for Combinatory:
+2
votes
1
answer
1
Counting number of pairs whose sum is less than k
How many pairs $(x,y)$ such that $x+y <= k$, where x y and k are integers and $x,y>=0, k > 0$. Solve by summation rules. Solve by combinatorial argument.
asked
Jun 9
in
Combinatory
by
dd

190
views
combinatory
summation
descriptive
0
votes
0
answers
2
Kenneth Rosen Edition 7th Exercise 6.6 Question 16 (Page No. 439)
The remaining exercises in this section develop another algorithm for generating the permutations of $\{1, 2, 3,\dots,n\}.$ This algorithm is based on Cantor expansions of integers. Every nonnegative integer less than $n!$ ... between Cantor expansions and permutations as described in the preamble to question $14.$ $3$ $89$ $111$
asked
May 2
in
Combinatory
by
Lakshman Patel RJIT

19
views
kennethrosen
discretemathematics
counting
combinatory
descriptive
0
votes
0
answers
3
Kenneth Rosen Edition 7th Exercise 6.6 Question 17 (Page No. 438)
The remaining exercises in this section develop another algorithm for generating the permutations of $\{1, 2, 3,\dots,n\}.$ ... permutations of a set of n elements based on the correspondence described in the preamble to question $14.$
asked
May 2
in
Combinatory
by
Lakshman Patel RJIT

8
views
kennethrosen
discretemathematics
counting
combinatory
descriptive
0
votes
0
answers
4
Kenneth Rosen Edition 7th Exercise 6.6 Question 15 (Page No. 438)
Show that the correspondence described in the preamble is a bijection between the set of permutations of $\{1, 2, 3,\dots,n\}$ and the nonnegative integers less than $n!.$
asked
May 2
in
Combinatory
by
Lakshman Patel RJIT

7
views
kennethrosen
discretemathematics
counting
combinatory
descriptive
0
votes
0
answers
5
Kenneth Rosen Edition 7th Exercise 6.6 Question 14 (Page No. 438)
The remaining exercises in this section develop another algorithm for generating the permutations of $\{1, 2, 3,\dots,n\}.$ This algorithm is based on Cantor expansions of integers. Every nonnegative integer less than $n!$ has a unique ... $a_{1}, a_{2},\dots,a_{n−1}$ that correspond to these permutations. $246531$ $12345$ $654321$
asked
May 2
in
Combinatory
by
Lakshman Patel RJIT

8
views
kennethrosen
discretemathematics
counting
combinatory
descriptive
0
votes
1
answer
6
Kenneth Rosen Edition 7th Exercise 6.6 Question 13 (Page No. 438)
List all $3$permutations of $\{1, 2, 3, 4, 5\}.$
asked
May 2
in
Combinatory
by
Lakshman Patel RJIT

12
views
kennethrosen
discretemathematics
counting
combinatory
descriptive
0
votes
1
answer
7
Kenneth Rosen Edition 7th Exercise 6.6 Question 12 (Page No. 438)
Develop an algorithm for generating the $r$permutations of a set of $n$ elements.
asked
May 2
in
Combinatory
by
Lakshman Patel RJIT

9
views
kennethrosen
discretemathematics
counting
combinatory
descriptive
0
votes
0
answers
8
Kenneth Rosen Edition 7th Exercise 6.6 Question 11 (Page No. 438)
Show that Algorithm $3$ produces the next larger $r$combination in lexicographic order after a given $r$combination.
asked
May 2
in
Combinatory
by
Lakshman Patel RJIT

7
views
kennethrosen
discretemathematics
counting
combinatory
descriptive
0
votes
0
answers
9
Kenneth Rosen Edition 7th Exercise 6.6 Question 10 (Page No. 438)
Show that Algorithm $1$ produces the next larger permutation in lexicographic order.
asked
May 2
in
Combinatory
by
Lakshman Patel RJIT

7
views
kennethrosen
discretemathematics
counting
combinatory
descriptive
0
votes
0
answers
10
Kenneth Rosen Edition 7th Exercise 6.6 Question 9 (Page No. 438)
Use Algorithm $3$ to list all the $3$combinations of $\{1, 2, 3, 4, 5\}.$
asked
May 2
in
Combinatory
by
Lakshman Patel RJIT

8
views
kennethrosen
discretemathematics
counting
combinatory
descriptive
0
votes
0
answers
11
Kenneth Rosen Edition 7th Exercise 6.6 Question 8 (Page No. 438)
Use Algorithm $2$ to list all the subsets of the set $\{1, 2, 3, 4\}.$
asked
May 2
in
Combinatory
by
Lakshman Patel RJIT

6
views
kennethrosen
discretemathematics
counting
combinatory
descriptive
0
votes
0
answers
12
Kenneth Rosen Edition 7th Exercise 6.6 Question 7 (Page No. 438)
Use Algorithm $1$ to generate the $24$ permutations of the first four positive integers in lexicographic order.
asked
May 2
in
Combinatory
by
Lakshman Patel RJIT

8
views
kennethrosen
discretemathematics
counting
combinatory
descriptive
0
votes
1
answer
13
Kenneth Rosen Edition 7th Exercise 6.6 Question 6 (Page No. 438)
. Find the next larger permutation in lexicographic order after each of these permutations. $1342$ $45321$ $13245$ $612345$ $1623547$ f$23587416$
asked
May 2
in
Combinatory
by
Lakshman Patel RJIT

11
views
kennethrosen
discretemathematics
counting
combinatory
descriptive
0
votes
1
answer
14
Kenneth Rosen Edition 7th Exercise 6.6 Question 5 (Page No. 438)
Find the next larger permutation in lexicographic order after each of these permutations. $1432$ $54123$ $12453$ $45231$ $6714235$ $31528764$
asked
May 2
in
Combinatory
by
Lakshman Patel RJIT

14
views
kennethrosen
discretemathematics
counting
combinatory
descriptive
0
votes
1
answer
15
Kenneth Rosen Edition 7th Exercise 6.6 Question 4 (Page No. 438)
Suppose that the name of a file in a computer directory consists of three digits followed by two lowercase letters and each digit is $0, 1,\:\text{or}\: 2,$ and each letter is either $a\:\text{or}\: b.$ List the name of these files in lexicographic order, where we order letters using the usual alphabetic order of letters.
asked
May 2
in
Combinatory
by
Lakshman Patel RJIT

11
views
kennethrosen
discretemathematics
counting
combinatory
descriptive
0
votes
1
answer
16
Kenneth Rosen Edition 7th Exercise 6.6 Question 3 (Page No. 438)
The name of a file in a computer directory consists of three uppercase letters followed by a digit, where each letter is either $A, B,\:\text{ or}\: C,$ and each digit is either $1\: \text{or}\: 2.$ List the name of these files in lexicographic order, where we order letters using the usual alphabetic order of letters.
asked
May 2
in
Combinatory
by
Lakshman Patel RJIT

9
views
kennethrosen
discretemathematics
counting
combinatory
descriptive
0
votes
1
answer
17
Kenneth Rosen Edition 7th Exercise 6.6 Question 2 (Page No. 438)
Place these permutations of $\{1,2,3,4,5,6\}$ in lexicographic order $:234561, 231456, 165432, 156423, 543216, 541236, 231465, 314562, 432561, 654321, 654312, 435612.$
asked
May 2
in
Combinatory
by
Lakshman Patel RJIT

9
views
kennethrosen
discretemathematics
counting
combinatory
descriptive
0
votes
1
answer
18
Kenneth Rosen Edition 7th Exercise 6.6 Question 1 (Page No. 438)
Place these permutations of $\{1, 2, 3, 4, 5\}$ in lexicographic order $:43521, 15432, 45321, 23451, 23514, 14532, 21345, 45213, 31452, 31542.$
asked
May 2
in
Combinatory
by
Lakshman Patel RJIT

10
views
kennethrosen
discretemathematics
counting
combinatory
descriptive
0
votes
1
answer
19
Kenneth Rosen Edition 7th Exercise 6.5 Question 66 (Page No. 434)
How many terms are there in the expansion of $(x + y + z)^{100}?$
asked
May 1
in
Combinatory
by
Lakshman Patel RJIT

13
views
kennethrosen
discretemathematics
counting
combinatory
descriptive
Page:
1
2
3
4
5
6
...
28
next »
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
Interview Experience for MS(R)IIT Delhi (School of Information Technology)
How am I preparing
PGEE 2020 (CSE) Experience
IIT Tirupati MS Interview 2020
IIT Bombay Mtech RA  interview experience (2020)
Subjects
All categories
General Aptitude
(2k)
Engineering Mathematics
(8.2k)
Digital Logic
(2.9k)
Programming and DS
(5k)
Algorithms
(4.4k)
Theory of Computation
(6.2k)
Compiler Design
(2.2k)
Operating System
(4.6k)
Databases
(4.2k)
CO and Architecture
(3.4k)
Computer Networks
(4.2k)
Non GATE
(1.2k)
Others
(1.5k)
Admissions
(595)
Exam Queries
(562)
Tier 1 Placement Questions
(23)
Job Queries
(71)
Projects
(19)
Unknown Category
(1k)
Recent questions tagged combinatory
Recent Blog Comments
After getting so many mails from you...
Refund will be given for such cases if applied...
@sreejit007 they don't publish any cutoff or...
@ranjanabhi Can you please elaborate what did...
ISI 2019 : Aarushi Aiyyar's answer to How do...
Network Sites
GO Mechanical
GO Electrical
GO Electronics
GO Civil
CSE Doubts
52,345
questions
60,471
answers
201,797
comments
95,273
users