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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

0 votes
1 answer
1321
total possible 4 digit numbers from given 6 digits
total possible 4 digit numbers from 2,3,5,6,7,9 without repetition? total numbers possible less than 500? 360, 130 360, 100 240, 120 none
total possible 4 digit numbers from 2,3,5,6,7,9 without repetition? total numbers possible less than 500?360, 130 360, 100 240, 120 ...
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1 votes
1 answer
1322
MadeEasy Test Series: Combinatory - Permutation And Combinations
5 member commities are to be formed out of 10 people. The names are written in chits of paper and put into 6 boxes. Atleast _______ chits go into the same box.
5 member commities are to be formed out of 10 people. The names are written in chits of paper and put into 6 boxes. Atleast _______ chits go into the same box.
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2 votes
2 answers
1323
Question on permutation and combination
Given answer: B, Please explain me how to solve it.
Given answer: B, Please explain me how to solve it.
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0 votes
1 answer
1324
Find Sum of four digit Number
Find the sum of all four digit numbers that can be formed by the digits {0,1,2,3,4}? a)183450 b)259980 c)266640 d)6600
Find the sum of all four digit numbers that can be formed by the digits {0,1,2,3,4}?a)183450b)259980c)266640d)6600
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1 votes
2 answers
1325
permutation
for aaaabbbcccdde find no of permutation such that 1)no two c are together 2)no 3 c are consecutive
for aaaabbbcccdde find no of permutation such that 1)no two c are together2)no 3 c are consecutive
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1 votes
0 answers
1326
how many no. of integers can be formed
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1 votes
1 answer
1327
How many ways 10 persons can be divided into 5 teams of 2 each
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0 votes
2 answers
1328
How many 4 digit integers are there with digit 6 appearing exactly once
How many 4 digit integers are there with digit 6 appearing exactly once . 6_ _ _ 9 *8*7 _ 6 _ _ 9* 8 * 7 _ _ 6 _ 9*9*7 _ _ _ 6 9*9*8 I'm getting as 2223 . Is my approach correct . In book I'm getting a different ans .
How many 4 digit integers are there with digit 6 appearing exactly once .6_ _ _ 9 *8*7_ 6 _ _ 9* 8 * 7_ _ 6 _ 9*9*7_ _ _ 6 9*9*8I'm getting as 2223 .Is my approach c...
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0 votes
2 answers
1329
How do one know permutation or combination to be used in a question ?
Suppose if we have 6 Different English movies 8 Different Malayalam Movies 10 Different Hindi Movie How many ways we can choose 2 movies of different languages ? How do one know Permutation or combination is to be used in a question ?
Suppose if we have6 Different English movies8 Different Malayalam Movies10 Different Hindi MovieHow many ways we can choose 2 movies of different languages ?How do one kn...
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0 votes
2 answers
1330
Commitee.
Find number of ways of selecting a commitee of 10 members out of 6 men and 7 women of which atleast 4 women are included. a)231 b)25200 c)325 d)286
Find number of ways of selecting a commitee of 10 members out of 6 men and 7 women of which atleast 4 women are included.a)231 b)25200 c)325 d)286
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1 votes
2 answers
1331
Probability question on a pair of dice
I think the ans should be C, but the given answer is A. Anyone can explain please?
I think the ans should be C, but the given answer is A. Anyone can explain please?
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3 votes
2 answers
1332
Counting number of functions which are neither 1-1 nor onto
Let $A = \left \{1, 2, 3, 4 \right \}$. Number of functions possible on $A$ which are neither $1-1$ nor on-to is _________.
Let $A = \left \{1, 2, 3, 4 \right \}$. Number of functions possible on $A$ which are neither $1-1$ nor on-to is _________.
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0 votes
1 answer
1333
Question on combinatorics
Given solution of this question: I think that number of 5 elements subsets with 7 should be C(n-1, 4) instead of C(n,4) as we have already fixed 7 so number of elements left will be n-1. Please check
Given solution of this question:I think that number of 5 elements subsets with 7 should be C(n-1, 4) instead of C(n,4) as we have already fixed 7 so number of elements le...
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1 votes
2 answers
1334
Question on rolling fair dice
Given answer: A Please explain
Given answer: APlease explain
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1 votes
1 answer
1335
Question on counting number of ways scholarship can be distributed
Given explanation of the question: I believe that in place of last C(8,3) it should be C(7,3) because 3 people have been already chosen before that. Please check whether I am correct or not.
Given explanation of the question:I believe that in place of last C(8,3) it should be C(7,3) because 3 people have been already chosen before that. Please check whether I...
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0 votes
1 answer
1336
counting function
How many function are there from the set{1,2,3,........n} where n is positive integer ,to the set {0,1}. a) that assigns 0 to both 1 and n? b)that assign 1 to exactly one of positive integer less than n?
How many function are there from the set{1,2,3,........n} where n is positive integer ,to the set {0,1}.a) that assigns 0 to both 1 and n?b)that assign 1 to exactly one o...
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0 votes
1 answer
1337
p&c
six balls have to be placed in the squares such that each row has atleast one ball . no of ways of doing this is-
six balls have to be placed in the squares such that each row has atleast one ball . no of ways of doing this is-
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2 votes
1 answer
1338
Combinatory
The number of ways 16 identical objects can be distributed among 4 persons such that each person gets atleast 2 objects is ______. If possible kindly explain me the approach.
The number of ways 16 identical objects can be distributed among 4 persons such that each person gets atleast 2 objects is ______.If possible kindly explain me the approa...
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0 votes
1 answer
1339
Combinatory
. A, B are two 8-bit numbers such that A+B < 28 . The number of possible combinations of A and B
. 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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4 votes
3 answers
1340
Combination
For a game in which 2 partners oppose 2 other partners, six men are available. If every possible pair must play against every other pair, the number of games to be played is 9a) 36 (b) 45 (c) 42 (d) 90
For a game in which 2 partners oppose 2 other partners, six men are available. If every possible pair must play against every other pair, the number of games to be played...
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