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Syllabus: Combinatorics: Counting, Recurrence relations, Generating functions.

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2024-1} & \textbf{2024-2} & \textbf{2023} & \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} &0&0&1& 1&1&0&0&0.5&1
\\\hline\textbf{2 Marks Count} &0&0&1& 2 &0&1&0&0.67&2
\\\hline\textbf{Total Marks} & 0&0&3&5 &1&2&0&1.83&5\\\hline
\end{array}}}$$

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Recent questions in Combinatory

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1
Counting
Suppose that there are nine students in a discrete mathematics class at a small college. a) Show that the class must have at least five male students or at least five female students. b) Show that the class must have at least three male students or at least seven female students.
Suppose that there are nine students in a discrete mathematics class at a smallcollege.a) Show that the class must have at least five male students or at least five femal...
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1 votes
1 answer
9
selfdoubt combinatory
In how many ways can you distribute 4 different choclates to 3 people such that each gets atleast 1 choclate.
In how many ways can you distribute 4 different choclates to 3 people such that each gets atleast 1 choclate.
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0 votes
4 answers
12
Computer Science - UGC NET 2021 [ Question ID = 2353 ]
How many ways are there to assign 5 different jobs to 4 different employees if every employee is assigned at least 1 job ? 1024 625 240 20
How many ways are there to assign 5 different jobs to 4 different employees if every employee is assigned at least 1 job ?1024 625 240 20
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2 votes
2 answers
13
GoClasses Youtube
Determine the Number of $6$ digit integers (no leading zeroes) in which no digit is repeated and its divisible by $4$.
Determine the Number of $6$ digit integers (no leading zeroes) in which no digit is repeated and its divisible by $4$.
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2 votes
4 answers
14
Permutation and Combination
In how many ways can 3 non-negative integers be chosen such that a + b + c = 10 where a >= -1 , b >= -5 and c >= 3 ? 36 66 105 None
In how many ways can 3 non-negative integers be chosen such that a + b + c = 10 where a >= -1 , b >= -5 and c >= 3 ? 3666105None
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0 votes
1 answer
16
Byjus Workbook
Sir I am getting answer as 25 my approach k+1=3 k=2 n=12 nk+1=25 @sachinmittal1 @gate_cse
Sir I am getting answer as 25my approach k+1=3k=2n=12nk+1=25@sachinmittal1@gate_cse
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0 answers
17
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 ?
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1 answer
18
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 ?
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1 answer
19
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^...
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20
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 ?...
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