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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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Most answered questions in Combinatory

19 votes
4 answers
62
ISI2016
A palindrome is a sequence of digits which reads the same backward or forward. For example, $7447$, $1001$ are palindromes, but $7455$, $1201$ are not palindromes. How many $8$ digit prime palindromes are there?
A palindrome is a sequence of digits which reads the same backward or forward. For example, $7447$, $1001$ are palindromes, but $7455$, $1201$ are not palindromes. How ma...
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3 votes
4 answers
65
How many solutions are there to the equation x+y+z=17 ?They are non-negative integers
How many solutions are there to the equation x+y+z=17 ?They are non-negative integers A) 120 B)171 C)180 D)121
How many solutions are there to the equation x+y+z=17 ?They are non-negative integers A) 120 B)171 C)180 D)121
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43 votes
4 answers
68
GATE CSE 1991 | Question: 02-iv
Match the pairs in the following questions by writing the corresponding letters only. ...
Match the pairs in the following questions by writing the corresponding letters only.$$\begin{array}{|c|l|c|l|} \hline A. & \text{The number of distinct binary tree} & P....
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0 votes
3 answers
70
Discrete Mathematics
Any Good resource to understand this topic.
Any Good resource to understand this topic.
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4 votes
3 answers
72
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 14
The number of ways of selecting at least one Indian and at least one American for a debate from a group comprising $3$ Indians and $4$ Americans and no one else?
The number of ways of selecting at least one Indian and at least one American for a debate from a group comprising $3$ Indians and $4$ Americans and no one else?
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18 votes
3 answers
75
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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3 votes
3 answers
76
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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0 votes
3 answers
78
Kenneth Rosen Edition 7 Exercise 6.1 Question 12 (Page No. 396)
How many bit strings are there of length six or less, not counting the empty string?
How many bit strings are there of length six or less, not counting the empty string?
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0 votes
3 answers
79
Kenneth Rosen Edition 7 Exercise 6.1 Question 2 (Page No. 396)
An office building contains $27$ floors and has $37$ offices on each floor. How many offices are in the building?
An office building contains $27$ floors and has $37$ offices on each floor. How many offices are in the building?
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2 votes
3 answers
80
ISI2014-DCG-18
$^nC_0+2^nC_1+3^nC_2+\cdots+(n+1)^nC_n$ equals $2^n+n2^{n-1}$ $2^n-n2^{n-1}$ $2^n$ none of these
$^nC_0+2^nC_1+3^nC_2+\cdots+(n+1)^nC_n$ equals$2^n+n2^{n-1}$$2^n-n2^{n-1}$$2^n$none of these
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