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Recent questions tagged counting
1
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91
igate test series
Selection of how many integers from the first ten positive integers (1, 2, ...) guarantees that there must be a pair of these integers with a sum equal to 11 ?
jugnu1337
asked
in
Combinatory
Sep 6, 2022
by
jugnu1337
619
views
discrete-mathematics
counting
test-series
0
votes
1
answer
92
TIFR CSE 2022 | Part A | Question: 1
A snail crawls up a vertical pole $75$ feet high, starting from the ground. Each day it crawls up $5$ feet, and each night it slides down $4$ feet. When will it first reach the top of the pole? $75^{\text {th}}$ day $74^{\text {th}}$ day $73^{ \text{rd}}$ day $72^{\text {nd }}$ day $71^{\text {st }}$ day
admin
asked
in
Combinatory
Sep 1, 2022
by
admin
564
views
tifr2022
combinatory
counting
0
votes
0
answers
93
Best Open Video Playlist for Counting Topic | Quantitative Aptitude
Please list out the best free available video playlist for Counting from Quantitative Aptitude as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom video lists. You ... ones are more likely to be selected as best. For the full list of selected videos please see here
makhdoom ghaya
asked
in
Study Resources
Aug 26, 2022
by
makhdoom ghaya
123
views
missing-videos
free-videos
go-classroom
video-links
counting
0
votes
1
answer
94
combinatorics problem-2
How many ways are there to distribute 5 distinct toys among 3 children such that every child gets at least 1 toy? answer given is 150. but I'm getting 9. My approach go as follows: step-1 : give 1 toy to all 3 children, now, I am left with (5-3) = ... to either of first or second or third child. thus, toy1 has 3 choices and so do toy2. Therefore, my answer would be 3*3 = 9.
Pineapple
asked
in
Combinatory
Aug 25, 2022
by
Pineapple
1.8k
views
combinatory
counting
numerical-answers
1
vote
2
answers
95
Combinatorics
How many ways are there to distribute 10 identical candies among 3 children such that the first child receives at least 2 candies, the second child receives atmost 6 candies and the third child receives atmost 3 candies.
Pineapple
asked
in
Combinatory
Aug 25, 2022
by
Pineapple
582
views
combinatory
counting
6
votes
0
answers
96
Combinatorics : Distinct objects and Distinct boxes
How many ways are there to Distribute 7 distinct objects to 3 Distinct boxes and No box should be Empty Any box can be Empty
[ Jiren ]
asked
in
Combinatory
Aug 22, 2022
by
[ Jiren ]
471
views
combinatory
counting
0
votes
0
answers
97
Best Open Video Playlist for Counting Topic | Discrete Mathematics
Please list out the best free available video playlist for Counting Topic from Discrete Mathematics as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom video lists. ... ones are more likely to be selected as best. For the full list of selected videos please see here
makhdoom ghaya
asked
in
Study Resources
Aug 14, 2022
by
makhdoom ghaya
216
views
missing-videos
go-classroom
free-videos
video-links
counting
7
votes
2
answers
98
GO Classes Scholarship 2023 | Test | Question: 4
Consider a $3 \times 11$ rectangular grid as depicted in Figure $1,$ formed by $33$ tiles of area $1\text{m}^2.$ A staircase walk is a path in the grid which moves only right or up. How many staircase walks are there from $\text{A}$ to $\text{B}$ which start by going to the right two times?
GO Classes
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in
Combinatory
Aug 6, 2022
by
GO Classes
563
views
goclasses-scholarship-test1
numerical-answers
goclasses
combinatory
counting
1-mark
4
votes
1
answer
99
GO Classes Scholarship 2023 | Test | Question: 5
Consider $5$ cards, each has a distinct value from the set $\{2,3,4,5,6\},$ so there are $5$ different values, and we put them face down on the table. There are $5$ players and each player is given a number from $2$ ... with the value that player has. If no player loses, then the dealer loses. How many ways are there so that the dealer loses?
GO Classes
asked
in
Combinatory
Aug 6, 2022
by
GO Classes
498
views
goclasses-scholarship-test1
numerical-answers
goclasses
combinatory
counting
2-marks
4
votes
1
answer
100
GO Classes Scholarship 2023 | Test | Question: 6
Consider three boxes and $12$ balls of the same size. We have $3$ indistinguishable red balls and $9$ distinguishable blue balls. The first box can fit at most three balls, the second box can fit at most four balls and the third box can fit ... all the red balls go into the same box. What is the total number of ways to put all the balls in the boxes?
GO Classes
asked
in
Combinatory
Aug 6, 2022
by
GO Classes
765
views
goclasses-scholarship-test1
numerical-answers
goclasses
combinatory
counting
2-marks
4
votes
2
answers
101
GO Classes Scholarship 2023 | Test | Question: 13
Let $\text{T}_{n}$ be the number of ways to arrange cars in a row with $n$ parking spaces if we can use sedans, SUVs, trucks to park such that a truck requires two spaces, whereas a sedan or SUV requires just one space each, and No two ... i.e. initial conditions are already given, hence no need to compute them)
GO Classes
asked
in
Combinatory
Aug 6, 2022
by
GO Classes
998
views
goclasses-scholarship-test1
numerical-answers
goclasses
combinatory
counting
recurrence-relation
2-marks
4
votes
1
answer
102
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 2
A set of cards is numbered $1$ through $6.$ Quantity A: The number of ways to pick $3$ of the $6$ cards such that card number $1$ ... Quantity B is greater than Quantity A. The two quantities are equal. The relationship cannot be determined from the information given.
GO Classes
asked
in
Combinatory
Jun 14, 2022
by
GO Classes
665
views
goclasses_wq13
goclasses
combinatory
counting
1-mark
4
votes
2
answers
103
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 3
Consider the following two combinatorial identities: For all $\mathrm{k}, \mathrm{n} \in \mathrm{N}$ with $\mathrm{k} \leq \mathrm{n}$ ... $1$ Only $2$ Both None
GO Classes
asked
in
Combinatory
Jun 14, 2022
by
GO Classes
480
views
goclasses_wq13
goclasses
combinatory
counting
1-mark
4
votes
1
answer
104
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 4
We go to a pizza party, and there are $5$ types of pizza. We have been starving for days, so we can eat $13$ slices, but we want to sample each type at least once. In how many ways can we do this? Order does not matter.
GO Classes
asked
in
Combinatory
Jun 14, 2022
by
GO Classes
604
views
goclasses_wq13
numerical-answers
goclasses
combinatory
counting
1-mark
3
votes
1
answer
105
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 5
How many integer solutions does the equation $ x_{1}+x_{2}+x_{3}+x_{4}=15 $ have, if we require that $x_{1} \geq 2, x_{2} \geq 3, x_{3} \geq 10$ and $x_{4} \geq-3 ?$
GO Classes
asked
in
Combinatory
Jun 14, 2022
by
GO Classes
375
views
goclasses_wq13
numerical-answers
goclasses
combinatory
counting
1-mark
5
votes
1
answer
106
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 6
How many integer solutions are there to the system of inequalities $ x_{1}+x_{2}+x_{3}+x_{4} \leq 15, \quad x_{1}, \ldots, x_{4} \geq 0 ? $
GO Classes
asked
in
Combinatory
Jun 14, 2022
by
GO Classes
497
views
goclasses_wq13
numerical-answers
goclasses
combinatory
counting
1-mark
6
votes
3
answers
107
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 7
We want those bit strings of length $10$ which Start and end with the symbol $1.$ No two zeroes are consecutive. How many such bit strings are there?
GO Classes
asked
in
Combinatory
Jun 14, 2022
by
GO Classes
1.1k
views
goclasses_wq13
numerical-answers
goclasses
combinatory
counting
2-marks
3
votes
1
answer
108
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 8
How many ways are there to split a dozen people into $3$ teams, where one team has $2$ people, and the other two teams have $5$ people each?
GO Classes
asked
in
Combinatory
Jun 14, 2022
by
GO Classes
738
views
goclasses_wq13
numerical-answers
goclasses
combinatory
counting
2-marks
5
votes
1
answer
109
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 10
In how many rearrangements of the letters of the word SCINTILLATING will no two 'I's appear together? ${ }^{11} \mathrm{C}_{3} * 13!$ $\frac{10 !}{2 ! * 2 ! * 2 !}$ ${ }^{11} \mathrm{C}_{3} * 3 ! * 10 !$ ${ }^{11} \mathrm{C}_{3} \frac{10 !}{2 ! * 2 ! * 2 !}$
GO Classes
asked
in
Combinatory
Jun 14, 2022
by
GO Classes
715
views
goclasses_wq13
goclasses
combinatory
counting
2-marks
3
votes
2
answers
110
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 11
How many squares are there in a chess board? $64$ $204$ $1296$ $4096$
GO Classes
asked
in
Combinatory
Jun 14, 2022
by
GO Classes
816
views
goclasses_wq13
goclasses
combinatory
counting
2-marks
2
votes
1
answer
111
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 12
How many rectangles are there in a chess board?
GO Classes
asked
in
Combinatory
Jun 14, 2022
by
GO Classes
412
views
goclasses_wq13
numerical-answers
goclasses
combinatory
counting
2-marks
2
votes
1
answer
112
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 13
For which of the following events will the number of outcomes exceed $50?$(Indicate all such events.) The number of outcomes in which at least three heads appear in $6$ consecutive tosses of a fair ... of outcomes in which all the vowels appear together when the letters of the word 'PRIORITY' are reordered.
GO Classes
asked
in
Combinatory
Jun 14, 2022
by
GO Classes
452
views
goclasses_wq13
goclasses
combinatory
counting
multiple-selects
2-marks
4
votes
3
answers
113
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 14
The number of ways of selecting at least one Indian and at least one American for a debate from a group comprising $3$ Indians and $4$ Americans and no one else?
GO Classes
asked
in
Combinatory
Jun 14, 2022
by
GO Classes
648
views
goclasses_wq13
numerical-answers
goclasses
combinatory
counting
2-marks
3
votes
2
answers
114
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 15
In an examination, a question paper consists of $12$ questions divided into two parts i.e, Part I and Part II, containing $5$ and $7$ questions respectively. A student is required to attempt $8$ questions in all, selecting at least $3$ from each part. In how many ways can a student select the questions?
GO Classes
asked
in
Combinatory
Jun 14, 2022
by
GO Classes
419
views
goclasses_wq13
numerical-answers
goclasses
combinatory
counting
2-marks
7
votes
1
answer
115
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 16
Count the number of non-negative integer solutions to $ 3 x_{1}+3 x_{2}+3 x_{3}+7 x_{4}=22 . $
GO Classes
asked
in
Combinatory
Jun 14, 2022
by
GO Classes
554
views
goclasses_wq13
numerical-answers
goclasses
combinatory
counting
2-marks
2
votes
1
answer
116
no of solutions to the following inequality 12 <= w + x + y + z <= 14
No. of solutions to the following inequality 12 <= w + x + y + z <= 14 where w,x,y,z>=0
khushitshah
asked
in
Combinatory
Jun 8, 2022
by
khushitshah
401
views
combinatory
discrete-mathematics
counting
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