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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 viewed questions in Combinatory

2 votes
1 answer
451
Pigeon hole (1)
Prove that out of hundred whole numbers one will always have $15$ of them such that the difference between any two of these $15$ numbers is divisible by $7$.
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2 votes
0 answers
452
boys and 4 girls have to sit in a row with all arrangements equally likely
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 other a)1/7 b)2/7 c) 3/7 d)4/7
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1 votes
1 answer
453
MadeEasy Workbook[2016] Q11
In how many different ways can 8 different shirts be distributed among 4 different people so that each receives 2 shirts? (a) 2850 (b) 2680 (c) 2520 (d) 1908
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2 votes
2 answers
456
counting
In an experiment 4 different colored dice are thrown simultaneously and numbers are added find number of distinct experiments such that total is 18?
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2 votes
1 answer
457
ISI2014-DCG-32
Consider $30$ multiple-choice questions, each with four options of which exactly one is correct. Then the number of ways one can get only the alternate questions correctly answered is $3^{15}$ $2^{31}$ $2 \times \begin{pmatrix} 30 \\ 15 \end{pmatrix}$ $2 \times 3^{15}$
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0 votes
1 answer
458
Combinatory
. A, B are two 8-bit numbers such that A+B < 28 . The number of possible combinations of A and B
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7 votes
3 answers
459
combinatory
How many ways are there for a horse race with 4 horses to finish if ties are possible?(any number of horses may tie)
How many ways are there for a horse race with 4 horses to finish if ties are possible?(any number of horses may tie)
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1 votes
2 answers
461
Suppose there are n positive real numbers such that their sum is 20
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0 votes
1 answer
462
MadeEasy Test Series: Combinatory - Permutations And Combinations
Number of solutions are there of x+y+z=17 in positive integers are_________ Here in this do we have to take constraints of x>=1,y>=1,z>=1?
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2 votes
2 answers
464
answer 90 or 444?
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0 votes
1 answer
467
Positive Divisors
How many positive divisors does $2000$ have? $A)12$ $B)20$ $C)30$ $D)15$
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0 votes
0 answers
469
made easy 2018
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1 votes
0 answers
470
Combinatorics
The letters of the word ALLAHABAD are rearranged to form new words and put in a dictionary. If the dictionary has only these words and one word on every page in alphabetical order then what is the page number on which the word LABADALAH comes?
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Page: