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Webpage for Combinatory:
Recent questions tagged combinatory
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91
Self doubt on Combinatorics Discrete Mathematics
What is the total number of integer partitions ( unordered Summation) of the natural number 8 ? I am getting 22. Is it correct ?
What is the total number of integer partitions ( unordered Summation) of the natural number 8 ?I am getting 22. Is it correct ?
Swarnava Bose
211
views
Swarnava Bose
asked
Jun 8, 2023
Combinatory
combinatory
discrete-mathematics
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0
votes
1
answer
92
Self Doubt on Combinatory Discrete Mathematics
Given there are 3 full baskets of apples, mangoes, and oranges. How many ways possible if a) You need to buy any 4 fruits out of these 3 baskets ? b) you buy any 4 fruits such that you take at least one from each basket ?
Given there are 3 full baskets of apples, mangoes, and oranges. How many ways possible ifa) You need to buy any 4 fruits out of these 3 baskets ?b) you buy any 4 fruits s...
Swarnava Bose
235
views
Swarnava Bose
asked
Jun 5, 2023
Combinatory
discrete-mathematics
combinatory
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–
0
votes
1
answer
93
self doubt on Combinatory Discrete Mathematics
A power series expression has been converted to Partial Fractions to get :- $\frac{3}{1+5x} - \frac{2}{7-2x}+ \frac{5x}{3+2x} + \frac{7x}{5-2x}$ Find the Coefficient of $x^{n}$ where n represents natural number.
A power series expression has been converted to Partial Fractions to get :-$\frac{3}{1+5x} - \frac{2}{7-2x}+ \frac{5x}{3+2x} + \frac{7x}{5-2x}$Find the Coefficient of $x^...
Swarnava Bose
402
views
Swarnava Bose
asked
Jun 3, 2023
Combinatory
combinatory
discrete-mathematics
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0
votes
1
answer
94
Combinatorics, Discrete Maths (self doubts)
Consider the set of 4 -digit positive integers. How many of them have their digits in :- a) strictly decreasing order ? b) non decreasing order ? c) non increasing order ?
Consider the set of 4 -digit positive integers. How many of them have their digits in :-a) strictly decreasing order ?b) non decreasing order ?c) non increasing order ?...
Swarnava Bose
385
views
Swarnava Bose
asked
Jun 3, 2023
Combinatory
combinatory
sorting
discrete-mathematics
goclasses
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0
votes
0
answers
95
Let (1 + x)n = C0 + C1x + C2x2 + . . . + Cnxn, n being a positive integer. Then find the value of ( 1 + C0 C1 ) ( 1 + C1 C2 ) . . . ( 1 + Cn−1 Cn
JISAANNAGEORGE
284
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JISAANNAGEORGE
asked
May 11, 2023
Combinatory
combinatory
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0
votes
0
answers
96
Byzu's practice book
There are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period? A. 3200 B. 3600 C. 1800 D. None of these
There are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?A. 3200B. 3600C. 1...
SPodder
277
views
SPodder
asked
Apr 6, 2023
Quantitative Aptitude
combinatory
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0
votes
1
answer
97
Flamingos Fanny and Freddy have three offspring: Happy, Glee, and Joy. These five flamingos are to be distributed to seven different zoos so that no zoo gets both a parent and a child :(. It is not required that every zoo gets a flamingo. In how many different ways can this be done? here if i am using case method on children i am getting a different answer than when i am using case methon on parents, why is that?
Soujit
427
views
Soujit
asked
Apr 5, 2023
Combinatory
combinatory
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0
votes
1
answer
98
Discrete Math and its applications by Kenneth Rosen 7th edition Section 6:Counting
Can this question be explained in detail as i have trouble understanding it? "How many 4-permutations of the positive integers not exceeding 100 contain three consecutive integers k, k + 1, k + 2, in the ... the solution manual says we have to account for double counting but I don't understand how? Why 97?
Can this question be explained in detail as i have trouble understanding it? "How many 4-permutations of the positive integers not exceeding 100 contain three consecutive...
discretemather1
471
views
discretemather1
asked
Apr 2, 2023
Compiler Design
discrete-mathematics
combinatory
inclusion-exclusion
mathematical-logic
first-order-logic
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3
votes
2
answers
99
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$$2260$
GO Classes
628
views
GO Classes
asked
Mar 26, 2023
Combinatory
goclasses2023-iiith-mock-1
goclasses
combinatory
counting
1-mark
+
–
2
votes
1
answer
100
GO Classes 2023 | IIITH Mock Test 1 | Question: 33
Which one of the following is a closed form expression for the generating function of the sequence $\{a_n\}$ where $a_n = \binom {n+4}{n}$ for $n= 0,1,2,\ldots ?$ $\frac{1}{(1-x)^5}$ $\frac{5}{(1-x)}$ $\frac{1}{(1-x)^4}$ $\frac{x}{(1-x)^5}$
Which one of the following is a closed form expression for the generating function of the sequence $\{a_n\}$ where $a_n = \binom {n+4}{n}$ for $n= 0,1,2,\ldots ?$$\frac{1...
GO Classes
546
views
GO Classes
asked
Mar 26, 2023
Combinatory
goclasses2023-iiith-mock-1
goclasses
combinatory
generating-functions
1-mark
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3
votes
1
answer
101
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
527
views
GO Classes
asked
Mar 26, 2023
Quantitative Aptitude
goclasses2023-iiith-mock-1
goclasses
quantitative-aptitude
combinatory
counting
1-mark
+
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0
votes
2
answers
102
Can any one solve this , 6B and 4G ,at least 2 girls should be together in circular arrangement
Shivank121
241
views
Shivank121
asked
Mar 19, 2023
Combinatory
discrete-mathematics
combinatory
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4
votes
1
answer
103
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
+
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3
votes
0
answers
104
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
105
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
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–
1
votes
1
answer
106
#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
492
views
Hattbc
asked
Feb 17, 2023
Combinatory
counting
combinatory
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7
votes
4
answers
107
GATE CSE 2023 | Question: 5
The Lucas sequence $L_{n}$ is defined by the recurrence relation: \[ L_{n}=L_{n-1}+L_{n-2}, \quad \text { for } \quad n \geq 3, \] with $L_{1}=1$ and $L_{2}=3$ ... $L_{n}=\left(\frac{1+\sqrt{5}}{2}\right)^{n}-\left(\frac{1-\sqrt{5}}{2}\right)^{n}$
The Lucas sequence $L_{n}$ is defined by the recurrence relation:\[L_{n}=L_{n-1}+L_{n-2}, \quad \text { for } \quad n \geq 3,\]with $L_{1}=1$ and $L_{2}=3$.Which one of t...
admin
7.8k
views
admin
asked
Feb 15, 2023
Combinatory
gatecse-2023
combinatory
recurrence-relation
1-mark
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