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

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

Highest voted questions in Combinatory

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The number of ways six distinct balls be distributed into 3 distinct urns. If each urn contain at least one ball are ____
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I am solving with Pigeon Hole Principle. Please correct me if I am wrong.Considering the required number of books as pigeons, days of the month as pigeonholes with 3 pige...
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if no 3 diagonal of a convex decagon meet at the same point inside the decagon ,into how many line segments are the diagonal divided by their intersection?
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310
Somebody prove this identity :$\frac{\binom{n-1}{0}}{1} + \frac{\binom{n-1}{1}}{2} + \frac{\binom{n-1}{2}}{3} + .... + \frac{\binom{n-1}{n-1}}{n} = \frac{2^{n}-1}{n}$
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311
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3 answers
314
Given a 4 *4 grid points , how many Triangles with vertices on the grid can be formed?
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315
3 boys and 4 girls have to sit in a row with all arrangements equally likely. What is the probability that no 2 boys sit next to each othera)1/7 b)2/7 c) 3/7 d)4/7
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316
Question How many different strings of length 2 can be made from the letters in 'ORONO'?I am getting 7 strings as follows: OO, ON, OR, NO, RO, RN, NRbut given answer is 6...
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317
2 votes
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319
que- in how many way can 7 girl are seated at a round table so that 2 particular girl are seprated ???