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Recent questions tagged permutationandcombination
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possible solutions
How many distinct solutions does the following equation have? $x _ { 1 } + x _ { 2 } + x _ { 3 } + x _ { 4 } = 100 $$x _ { 1 } \in \{ 1,2,3 . . \} , x _ { 2 } \in \{ 2,3,4 , \ldots \} , x _ { 3 } , x _ { 4 } \in \{ 0,1,2,3 , \dots \} $
asked
Nov 2, 2018
in
Probability
by
MIRIYALA JEEVAN KUMA
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2.4k
points)

126
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permutationandcombination
–1
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2
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2
Permutations, TIFR2011B30
What does it mean when they say "An array A[1...n] consists of a permutation of numbers 1....n.".? Also I'd be grateful if you give some example.
asked
Nov 1, 2018
in
Numerical Ability
by
Mizuki
Active
(
1.3k
points)

103
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datastructure
permutationandcombination
arrays
usertifr2011
usermod
generalaptitude
0
votes
0
answers
3
Sheldon Ross Example 5d
In the first round of a knockout tournament involving $n = 2^m$ players, the $n$ players are divided into $\large \frac{n}{2}$ pairs, with each of these pairs then playing a game. The losers of the games are eliminated while the winners go ... , and 7 beats 8. ) (b) How many outcomes of the tournament are possible, where an outcome gives complete information for all rounds?
asked
Nov 1, 2018
in
Combinatory
by
himgta
Active
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3.7k
points)

41
views
permutationandcombination
+1
vote
1
answer
4
GATEBOOKCombinatorics
How many license plates with 3 decimal digits followed by 3 letters do not contain both the number 0 and the letter O?
asked
Oct 30, 2018
in
Combinatory
by
Ayush Upadhyaya
Boss
(
27.7k
points)

142
views
discretemathematics
permutationandcombination
0
votes
2
answers
5
Permutation and combination
9 different books are to be arranged on a bookshelf. 4 of these books were written by Shakespeare, 2 by Dickens, and 3 by Conrad. How many possible permutations are there if the books by Conrad must be separated from one another?
asked
Oct 30, 2018
in
Combinatory
by
Lakshman Patel RJIT
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54.9k
points)

134
views
engineeringmathematics
discretemathematics
permutationandcombination
0
votes
1
answer
6
Cool 6Digit Numbers
Let us call a digit number cool if each of its digits is no less than the preceding digit. How many cool $6$digit numbers are there? Details And Assumptions: For example, $,112446 is cool. 233043 isn't cool.
asked
Oct 30, 2018
in
Combinatory
by
Lakshman Patel RJIT
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(
54.9k
points)

86
views
discretemathematics
permutationandcombination
0
votes
1
answer
7
Permutation with distinct words
How many distinct words of any (nonzero) length can be formed using the letters of $KEPLER$ at most once each? (Clarification: such a word can have two Es, but can't have duplicates of any other letter.)
asked
Oct 30, 2018
in
Combinatory
by
Lakshman Patel RJIT
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(
54.9k
points)

129
views
discretemathematics
permutationandcombination
0
votes
0
answers
8
Permutation with standard deck of cards
Given a standard deck of cards, there $52!$ are different permutations of the cards. Given two identical standard decks of cards, how many different permutations are there?
asked
Oct 30, 2018
in
Combinatory
by
Lakshman Patel RJIT
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(
54.9k
points)

45
views
discretemathematics
permutationandcombination
0
votes
0
answers
9
Indistinguishable fair coin
When $6$ indistinguishable fair coins are thrown, how many different outcomes are there? Details and Assumptions: Two outcomes are the same if they contain the same number of heads.
asked
Oct 29, 2018
in
Combinatory
by
Lakshman Patel RJIT
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(
54.9k
points)

63
views
discretemathematics
permutationandcombination
0
votes
1
answer
10
Positive Divisors
How many positive divisors does $2000$ have? $A)12$ $B)20$ $C)30$ $D)15$
asked
Oct 29, 2018
in
Combinatory
by
Lakshman Patel RJIT
Veteran
(
54.9k
points)

47
views
discretemathematics
permutationandcombination
0
votes
0
answers
11
Sum of all 5 digit numbers
What is the sum of all $5$digit numbers possible using with the numbers $ 1,3,5,7,9$(Repetition is not allowed)? $A)6666660$ $B)6666600$ $C)6666666$ $D)6666606$
asked
Oct 29, 2018
in
Numerical Ability
by
Lakshman Patel RJIT
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54.9k
points)

102
views
generalaptitude
permutationandcombination
+1
vote
1
answer
12
Test Series
Let K$_n$ be such that the vertices are labeled 1,2,3,...n. The number of simple paths between v$_1$ and v$_n$ such that the labels on the path are strictly increasing ____________________
asked
Oct 29, 2018
in
Graph Theory
by
Gupta731
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4.7k
points)

142
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discretemathematics
graphtheory
permutationandcombination
+1
vote
0
answers
13
Test Series
How many integers in the set {1,2,3,4,....121} are not divisible by 2 or 3 or 5? How will I determine in exam how many numbers are divisible by 3 or 2 & 3, 3 & 5, 2& 3 & 5? It will be timeconsuming and confusing.
asked
Oct 28, 2018
in
Combinatory
by
Gupta731
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(
4.7k
points)

52
views
discretemathematics
permutationandcombination
0
votes
1
answer
14
Test Series
An institute offers 7 branches with intakes of 60 per branch. What is the minimum number of students we can select randomly from the institute? So guaranteed that will have 10 students belongs from the same branch?
asked
Oct 28, 2018
in
Combinatory
by
Gupta731
Active
(
4.7k
points)

76
views
discretemathematics
permutationandcombination
0
votes
0
answers
15
Permutation and Combination
If $^nP_6=332640$ How to quickly and efficiently find out the value of n. I know that fact that product of m consecutive integers is divisible by m!. How can we find the value of n quickly?
asked
Oct 27, 2018
in
Numerical Ability
by
Ayush Upadhyaya
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(
27.7k
points)

74
views
permutationandcombination
0
votes
1
answer
16
RosenPigeonhole Principle
How many cards must be chosen from a standard deck of 52 cards to guarantee that there are at least two cards of each of two different kinds? what this question means?
asked
Oct 25, 2018
in
Combinatory
by
aditi19
Active
(
5.1k
points)

138
views
pigeonholeprinciple
permutationandcombination
counting
discretemathematics
0
votes
1
answer
17
Counting of number of Triangles
Given a grid of $4\times4$ points,how many triangles with their vertices on the grid can be drawn?
asked
Oct 24, 2018
in
Combinatory
by
Lakshman Patel RJIT
Veteran
(
54.9k
points)

96
views
discretemathematics
permutationandcombination
0
votes
0
answers
18
self doubt PnC
In how many ways $10$ different books can be distributed among there student $A, B$ and $C$ such that $A$ must be given at least $1$ book?
asked
Oct 24, 2018
in
Combinatory
by
Lakshman Patel RJIT
Veteran
(
54.9k
points)

50
views
discretemathematics
permutationandcombination
0
votes
1
answer
19
Number of Cuts in the circle
We have a cake which we have to cut vertically into many pieces not necessarily equal, but we have to follow some rules. $> $Each cut has to pass through all the previous cuts. $> $No three cuts intersect at a single point. After the $100$th cut,how many pieces will we have in all? $A)5051$ $B)5050$ $C)5053$ $D)5052$
asked
Oct 24, 2018
in
Numerical Ability
by
Lakshman Patel RJIT
Veteran
(
54.9k
points)

81
views
discretemathematics
permutationandcombination
0
votes
0
answers
20
Number of solutions
Suppose that a solution $(X,Y,Z)$ of the equation $X+Y+Z=20,$with $X,Y$ and $Z$ nonnegative integers, is chosen at random.What is the probability that $X$ is divisible by $5?$ $A)\frac{1}{4}$ $B)\frac{5}{21}$ $C)\frac{2}{7}$ $D)\frac{3}{20}$
asked
Oct 24, 2018
in
Combinatory
by
Lakshman Patel RJIT
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(
54.9k
points)

55
views
discretemathematics
permutationandcombination
+1
vote
1
answer
21
Counting
A number of ways we can arrange letters of the word " TESTBOOK " such that E always comes between O's is ___________
asked
Oct 24, 2018
in
Combinatory
by
Lakshman Patel RJIT
Veteran
(
54.9k
points)

107
views
discretemathematics
permutationandcombination
counting
+1
vote
0
answers
22
Combinations
In how many ways a team of 11 players be selected from 14 players when two of them can play as goalkeepers only?
asked
Oct 24, 2018
in
Mathematical Logic
by
Vaishnavi01
(
143
points)

44
views
permutationandcombination
counting
+1
vote
1
answer
23
Discrete mathematics
The nonnegative integral solutions to the equation $x_1+x_2+x_3+x_4 \leq10$
asked
Oct 17, 2018
in
Combinatory
by
Deepalitrapti
Junior
(
843
points)

233
views
permutationandcombination
0
votes
0
answers
24
General Doubt on Generating Functions
Given only a Generating Function in closed form can we find the sequence it represents? If so, how? Please explain with an example.If not, given a GF(closed form) in general what information does it convey to us about a series if the series is not provided ?
asked
Oct 16, 2018
in
Combinatory
by
tonystark
(
209
points)

49
views
generatingfunctions
discretemathematics
kennethrosen
permutationandcombination
#counting
0
votes
0
answers
25
Virtual Gate Test Series: Discrete Mathematics  Combinatorics
asked
Oct 15, 2018
in
Combinatory
by
Prince Sindhiya
Loyal
(
5.7k
points)

58
views
discretemathematics
permutationandcombination
virtualgatetestseries
0
votes
1
answer
26
PNC (aptitude)
Arrange 8 cars such that there are exactly 4 cars between 2 specified cars.
asked
Oct 15, 2018
in
Verbal Ability
by
Shivani gaikawad
Junior
(
633
points)

122
views
permutationandcombination
0
votes
1
answer
27
Permutation and Combination
An Entrepenuer wants to assign 5 different jobs to 3 of his employees. If every employee is assigned atleast 1 task, how many ways the entrepenuer can assign those task to employees ?
asked
Oct 13, 2018
in
Mathematical Logic
by
Na462
Loyal
(
6.9k
points)

65
views
permutationandcombination
engineeringmathematics
0
votes
2
answers
28
Number of ways
How to solve this type of questions
asked
Oct 12, 2018
in
Numerical Ability
by
Lakshman Patel RJIT
Veteran
(
54.9k
points)

97
views
generalaptitude
permutationandcombination
0
votes
0
answers
29
Kenneth Rosen Edition 6th Exercise 5.5 Question 45(Page No. 381)
In how many ways n distinguishable books can be placed in k distinguishable shelf and position of the books matter? pls explain in details
asked
Oct 9, 2018
in
Combinatory
by
aditi19
Active
(
5.1k
points)

54
views
kennethrosen
discretemathematics
permutationandcombination
0
votes
1
answer
30
Four cups and saucers
A tea set has four cups and saucers with two cups and saucers in each of two different colours. If the cups are placed at random on the saucers, what is the probability that no cup is on a saucer of the same colour?
asked
Oct 9, 2018
in
Combinatory
by
MIRIYALA JEEVAN KUMA
Active
(
2.4k
points)

40
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probability
permutationandcombination
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