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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

1 votes
2 answers
1401
How many seven digits number are there such that Digits are distinct integers taken from {1, 2, ..., 9} and Digits 5 and 6 do not appear together (consecutively)
How many seven digits number are there such thatDigits are distinct integers taken from {1, 2, ..., 9} andDigits 5 and 6 do not appear together (consecutively)
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65 votes
16 answers
1402
GATE CSE 2015 Set 3 | Question: 5
The number of $4$ digit numbers having their digits in non-decreasing order (from left to right) constructed by using the digits belonging to the set $\{1, 2, 3\}$ is ________.
The number of $4$ digit numbers having their digits in non-decreasing order (from left to right) constructed by using the digits belonging to the set $\{1, 2, 3\}$ is ___...
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3 votes
1 answer
1404
permutation and combination
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3 votes
4 answers
1406
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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2 votes
3 answers
1407
Self Doubt: Permutations & Combinations
How many solutions are there to the equation $x+y+z=17$ in positive integers? $120$ $171$ $180$ $121$
How many solutions are there to the equation $x+y+z=17$ in positive integers?$120$$171$$180$$121$
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1 votes
1 answer
1408
How many ternary strings of length 4 have exactly one 1?
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0 votes
1 answer
1411
In a round-robin tournament with m players, every two players play one game in which one player wins and the other loses.
In a round-robin tournament with m players, every two players play one game in which one player wins and the other loses. We want to find conditions on positive integers ...
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1 votes
1 answer
1418
How many cards must be chosen from a standard deck of 52 cards to guarantee that there are at least two cards of the same kind?
The answer is 14.But there are four kind of cards.(spades,heart,diamond,chidi)So there must be 5 pick up to ensure the same kind condition.
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3 votes
1 answer
1420
33. How many different strings can be made from the letters in ORONO, using some or all of the letters?
The answer is 63.But I got 57.Approch:1 letters: = O,R,N(=3)2 letters: = OO,OR,ON,NR(1+2+2+2=7)3 Letters: = OOO,OOR,OON,ORN(1+3+3+6 = 13)4 Letters : OOOR,OOON,OORN(4+4+6 ...
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