Recent questions in Combinatory

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1

How this can be done.
Find the number of ways 4 fruits can be chosen out of 8 fruits so as to exclude the largest fruit.

asked 11 hours ago in Combinatory by `JEET Active (2.3k points) | 24 views

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2

How to do such questions
Find the largest integer value of x satisfying the inequality ${10 \choose x-1}$ < 2${10 \choose x}$

asked 11 hours ago in Combinatory by `JEET Active (2.3k points) | 23 views

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3

How to do this question
Compute the coefficient value of $ x^3 y^2z$ in the $(x-y+3z)^6$

asked 11 hours ago in Combinatory by `JEET Active (2.3k points) | 40 views

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4

Combinatorics
A ball is dropped from a height of 15 feet. Each time it strikes the pavement after falling from a height of h feet, it rebounds to a height of 0.6 h feet. What is the total distance the ball travels up and down? Please confirm the answer

asked 16 hours ago in Combinatory by `JEET Active (2.3k points) | 36 views

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5

ME TEST 1

asked 1 day ago in Combinatory by himgta Active (2.9k points) | 15 views

+1 vote

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6

Madeeasy test series full syllbus
Let M(x) = $\frac{x^{2018}}{(1-x)^{2019}}$ we define M(x) = $ \sum_{r=0}^{infinity}a_{r}x^{r}$ . then $a_{r}$ is equal to- option are –

asked 3 days ago in Combinatory by register_user_19 Active (1.2k points) | 20 views

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2 answers

7

Rosen-Recurrence Relation
Find a recurrence relation for the number of bit strings of length n that contains a pair of consecutive 0s

asked 4 days ago in Combinatory by aditi19 Active (2.2k points) | 25 views

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8

#Combinations
Number of ways of splitting 10 people into 2 teams of 6 and 4 people respectively. Answer- $^{10}c_{6}$ Number of ways of splitting 10 people into 2 teams of 5 people each. Answer – $^{10}c_{5} /2$ Please explain why we divide by 2?

asked 4 days ago in Combinatory by Nymeria (429 points) | 25 views

+1 vote

1 answer

9

AAI JE (IT) 2019 Q-30
Can someone solve this and tell how it’s 160.

asked 5 days ago in Combinatory by shaz (181 points) | 50 views

+1 vote

0 answers

10

#discrete matmatics
recurrence relation 2a$_{n}=a_{n-1}+2^{n}$ intial condtion a$_{0}$=1 value of a$_{100}$

asked 6 days ago in Combinatory by amit166 Junior (529 points) | 25 views

+1 vote

1 answer

11

ME Test Series

asked Dec 11 in Combinatory by Shadan Karim (381 points) | 46 views

+1 vote

0 answers

12

number system
what is the meaning of two consecutive 1’s in a string? suppose for the string 011 here whether two consecutive 1’s present or not ….

asked Dec 10 in Combinatory by utpal podder (295 points) | 18 views

–1 vote

2 answers

13

Aai it 2018

asked Dec 10 in Combinatory by Shashi Shekhar 1 (223 points) | 98 views

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14

Rosen
this is an example taken from Rosen. but I’m unable to understand to understand the solution given there can someone pls explain me in details

asked Dec 10 in Combinatory by aditi19 Active (2.2k points) | 16 views

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15

Self Doubt
Given a standard 9*9 sudoku, What is the probability that I solved a sudoku and it results into a diagonal sudoku ? ( 1. Is it a valid question ? 2. What would be the difficulty ? )

asked Dec 10 in Combinatory by HeadShot Active (3.7k points) | 13 views

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16

SELF DOUBT GENERATING FUNCTION
Difference between getting closed form of generating function and closed form of the given sequence ,pls someone explain with an example

asked Dec 10 in Combinatory by codingo1234 (477 points) | 20 views

+1 vote

1 answer

17

#tifr 2019
if $m$ and $n$ are postive integer then $2^{n}-1$ is prime if n is prime $m^{n-1}=1 mod n$ which is true

asked Dec 10 in Combinatory by amit166 Junior (529 points) | 134 views

+2 votes

3 answers

18

TIFR 2019
There are 10 houses in a row. Each house can be colored in one of three - blue or red or green. If you color a house with blue or red then you have to color green in the exact right one of that house. How many different ways all 10 houses can be colored?

asked Dec 9 in Combinatory by Vegeta Junior (613 points) | 307 views

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19

DM: K Rosen: Countings
Question: A group contains 4 men and 4 women. How many ways are there to arrange these people in a row if the men ad women alternate. Method 1: row can be started either with woman or a man. $mwmwmwmw$ or $wmwmwmwm$ And further we can permute men and ... select the places for men and further we can permute man and women So answer should be 5*4!*4! ways. which one is correct?

asked Dec 4 in Combinatory by chauhansunil20th Active (2k points) | 28 views

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20

Kenneth_Rosen_GF
Find a closed form for the exponential generating function for the sequence $\{a_n\}$ where $a_n=\frac{1}{(n+1)(n+2)}$ I broke it down into partial fractions and got $a_n=\frac{1}{n+1}-\frac{1}{n+2}$ ... $\sum_{n=0}^{\infty}\frac{1}{(n+2)}.\frac{x^n}{n!}$

asked Dec 4 in Combinatory by Ayush Upadhyaya Boss (19.2k points) | 40 views

+2 votes

0 answers

21

Kenneth Rosen
Use Generating function to determine,the number of different ways $10$ identical balloons can be given to four children if each child receives atleast $2$ ballons? Ans given $(x^{2}+x^{3}+.........................)^{4}$ But as there is a upper bound I think answer will be $(x^{2}+x^{3}+.........................+{\color{Red} {x^{10}}})^{4}$ Which one is correct? plz confirm

asked Dec 4 in Combinatory by srestha Veteran (104k points) | 128 views

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22

Generating function(Find Coefficient of x^100) [closed]

asked Dec 3 in Combinatory by !KARAN Junior (915 points) | 63 views

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3 answers

23

Generating Function
What will be solution of this function for coefficient of $x^{100}$? $\frac{1}{\left ( 1-x^{10} \right )(1-x^{20})(1-x^{50})}$

asked Dec 3 in Combinatory by srestha Veteran (104k points) | 140 views

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24

Generating Function (Kenneth Rosen)
Ques #29 from Generating function Use generating functions to find the number of ways to make change for $\$100$ using a) $\$10$, $\$20$, and $\$50$ bills. b) $\$5$, $\$10$, $\$20$, and $\$50$ bills. c) $\$5$, $\$10$, $\$ ... $5$, $\$10$ and $\$20$, bills if at least one and no more than four of each denomination is used.

asked Dec 2 in Combinatory by !KARAN Junior (915 points) | 41 views

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1 answer

25

Counting MadeEasy

asked Dec 2 in Combinatory by garimanand Active (1.3k points) | 52 views

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0 answers

26

ACE Testseries

asked Nov 30 in Combinatory by Vipin Rai (391 points) | 39 views

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0 answers

27

Ace test series
A medical student has to work in a hospital for five days in january.However,he is not allowed to work two consecutive days in the hospital.in how many different ways can he choose the five days he will work in the hospital? A)C(27,5) B)C(26,5) C)C(27,4) D)C(26,4)

asked Nov 26 in Combinatory by talha hashim Active (4.5k points) | 52 views

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0 answers

28

ace academy test series
Please explain in some detail.

asked Nov 23 in Combinatory by amitqy Junior (957 points) | 19 views

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0 answers

29

in how many ways 4 different balls can be placed in 5 different boxes so that no box contains all 4 balls

asked Nov 23 in Combinatory by Sanjay Sharma Veteran (50k points) | 33 views

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0 answers

30

self Doubt
$\frac{1}{2}\sum_{p=0}^{k-1} (p^2 + 3p+2).2^p$ where n = 2k. Solve the summation

asked Nov 23 in Combinatory by Shaik Masthan Boss (43.1k points) | 59 views

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