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

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{2020}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 1&1&0&0&2&1&0&0&1&0&0&0.6&2
\\\hline\textbf{2 Marks Count} & 2 &0&1&1&0&1&0&1&2&1&0&0.9&2
\\\hline\textbf{Total Marks} & 5 &1&2&2&2&3&0&2&5&2&0&2.4&5\\\hline
\end{array}}}$$

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Recent questions in Combinatory

18 votes
3 answers
101
GATE CSE 2022 | Question: 22
The number of arrangements of six identical balls in three identical bins is _____________ .
The number of arrangements of six identical balls in three identical bins is _____________ .
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0 votes
1 answer
104
combinatorics
How many 5-digit even numbers have all digits distinct?
How many 5-digit even numbers have all digits distinct?
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0 votes
1 answer
105
madeeasy test series
Plz explain this..If possible share some resources.
Plz explain this..If possible share some resources.
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1 votes
1 answer
107
NPTEL Assignment Question
The number of possible subsequences in a string of length n are: $n^{2}$ $2^{n}$ n! n(n-1)
The number of possible subsequences in a string of length n are:$n^{2}$$2^{n}$ n!n(n-1)
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3 votes
3 answers
108
Applied Test Series
The number of possible ways in which 5 identical helicopters can take off given that we are having 5 helipads.____
The number of possible ways in which 5 identical helicopters can take off given that we are having 5 helipads.____
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1 votes
1 answer
110
Combinatorics Question| Discrete Maths
Suppose there are 4 cricket matches to be played in 3 grounds. The number of ways the matches can be assigned to the grounds so that each ground gets at least one match is
Suppose there are 4 cricket matches to be played in 3 grounds. The number of ways the matches can be assigned to the grounds so that each ground gets at least one match i...
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2 votes
1 answer
111
Applied Test Series
A Professor tells 3 Jokes in his maths class each year. How large a set of jokes does the professor need in order never to repeat the exact same triple of jokes over a period of 12 years?_________
A Professor tells 3 Jokes in his maths class each year. How large a set of jokes does the professor need in order never to repeat the exact same triple of jokes over a pe...
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0 votes
1 answer
112
gateacademy testseries
In how many ways can seven different jobs be assigned to four different employees so that each employee is assigned at least one job and the most difficult job is assigned to the best employee?
In how many ways can seven different jobs be assigned to four different employees so that each employee is assigned at least one job and the most difficult job is assigne...
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1 votes
1 answer
113
gateacademy test series
There are 12 stations on a rail route. How many ways a special train can stop at 4 of these stations, so that no two stops are consecutive stations? please explain in detail
There are 12 stations on a rail route. How many ways a special train can stop at 4 of these stations, so that no two stops are consecutive stations? please explain in det...
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1 votes
1 answer
115
TIFR CSE 2021 | Part A | Question: 11
Find the following sum. $\frac{1}{2^{2}-1}+\frac{1}{4^{2}-1}+\frac{1}{6^{2}-1}+\cdots+\frac{1}{40^{2}-1}$ $\frac{20}{41}$ $\frac{10}{41}$ $\frac{10}{21}$ $\frac{20}{21}$ $1$
Find the following sum.$$\frac{1}{2^{2}-1}+\frac{1}{4^{2}-1}+\frac{1}{6^{2}-1}+\cdots+\frac{1}{40^{2}-1}$$$\frac{20}{41}$$\frac{10}{41}$$\frac{10}{21}$$\frac{20}{21}$$1$
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26 votes
6 answers
117
GATE CSE 2021 Set 2 | Question: 50
Let $S$ be a set of consisting of $10$ elements. The number of tuples of the form $(A,B)$ such that $A$ and $B$ are subsets of $S$, and $A \subseteq B$ is ___________
Let $S$ be a set of consisting of $10$ elements. The number of tuples of the form $(A,B)$ such that $A$ and $B$ are subsets of $S$, and $A \subseteq B$ is ___________
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0 votes
0 answers
120
NIELIT Scientist B 2020 November: 118
The number of $4$ digit numbers which contain not more than two different digits is: $576$ $567$ $513$ $504$
The number of $4$ digit numbers which contain not more than two different digits is:$576$$567$$513$$504$
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