Web Page

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

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

Most viewed questions in Combinatory

4 votes
3 answers
91
Number of non negative integer solutions to the equation X1 + X2 + X3 + X4 = 15, where $1 \leqslant X1,X2,X3,X4 \leqslant6$ is ________
43 votes
4 answers
94
Match the pairs in the following questions by writing the corresponding letters only.$$\begin{array}{|c|l|c|l|} \hline A. & \text{The number of distinct binary tree} & P....
5 votes
1 answer
97
How many 4-permutations of the positive integers not exceeding 100 contain three consecutive integers k, k + 1, k + 2, in the correct ordera) where these consecutive inte...
8 votes
1 answer
98
There are six runners in the 100-yard dash. How many ways are there for three medals to be awarded if ties are possible? (The runner or runners who finish with the fastes...
0 votes
1 answer
99
How many license plates can be made using either three uppercase English letters followed by three digits or four uppercase English letters followed by two digits?
2 votes
2 answers
100
3 votes
1 answer
102
3 votes
3 answers
110
In how many ways can $15$ indistinguishable fish be placed into $5$ different ponds, so that each pond contains at least one fish?$1001$$3876$$775$$200$