Recent questions in Combinatory

+2 votes

1 answer

1

Rosen 7e Exercise-6.5 question 45.b page 433
How many ways can n books be placed on k distinguishable shelves if no two books are the same, and the positions of the books on the shelves matter?

asked 4 days ago in Combinatory by aditi19 Active (2.9k points) | 74 views

0 votes

1 answer

2

Madeeasy Discrete Maths notes
How many 5 letter word possible having atleast 2 a's ?

asked Apr 9 in Combinatory by Prakhar Garg (61 points) | 50 views

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1 answer

3

Self doubt
How is the problem.. Distribute 5 toys such that each of 3 child get atleast 1 Different from sum of 3 no. X+y+z=5 such that each digit >= 1. Plz explain ?

asked Apr 4 in Combinatory by Manoj Kumar Pandey (177 points) | 51 views

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0 answers

4

Combinatorics
There are 6n flowers of one type and 3 flowers of second type, total no. Of garlands possible?

asked Apr 2 in Combinatory by Manoj Kumar Pandey (177 points) | 12 views

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0 answers

5

General Query: Self doubt(Math+Automata)
Can somebody explain What is identity permutation?

asked Apr 1 in Combinatory by srestha Veteran (111k points) | 21 views

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0 answers

6

website
There is 4 coins 1 paisa, 5 paise, 10 paise, 25 paise using these coins we have to make 50 paisa how many combination can we make ?

asked Mar 31 in Combinatory by Cristine Active (1.6k points) | 22 views

0 votes

0 answers

7

Allen Career Institute: Discrete Mathematics
A certain software was being tested by using error seeding strategy in which $22$ errors were seeded. $14$ of seeded errors were detected apart from $140$ unseeded errors when the code was tested using the complete test suit. Calculate the estimated no. of undetected errors in the code after complete testing _____

asked Mar 22 in Combinatory by srestha Veteran (111k points) | 26 views

+1 vote

1 answer

8

Model Question IISc CDS CS Written Test Sample question
Anand is preparing a pizza with 8 slices, and he has 10 toppings to put on the pizza. He can put only one topping on each slice but can use the same topping on zero or more slices. In how many unique ways can he prepare the slices so that the same topping is not used in adjacent slices?

asked Mar 11 in Combinatory by Chaitrasj Junior (993 points) | 114 views

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1 answer

9

ACE Test Series: Generating Function
The generating function of the sequence $\left \{ a_{0},a_{1},a_{2}..........a_{n}………...\infty \right \}$ where $a_{n}=\left ( n+2 \right )\left ( n+1 \right ).3^{n}$ is $a)3\left ( 1+3x \right )^{-2}$ $b)3\left ( 1-3x \right )^{-2}$ $c)2\left ( 1+3x \right )^{-3}$ $d)2\left ( 1-3x \right )^{-3}$

asked Mar 8 in Combinatory by srestha Veteran (111k points) | 57 views

+2 votes

1 answer

10

Rosen 7e, Advance Counting techniques , Question 6.f
Find the generating function for the sequence $\left \{ a_n \right \} where $ $a_n = \Large \binom{10}{n+1} $ ... $\Large \color{red}{ \frac{( 1+x )^{10} - 1}{x} }$ Please verify

asked Mar 7 in Combinatory by Mk Utkarsh Boss (34.8k points) | 41 views

0 votes

1 answer

11

Rosen Ex.6.1
Find a recurrence relation for the number of ways to lay out a walkway with slate tiles if the tiles are red, green, or gray so that no two red tiles are adjacent and tiles of the same color are considered indistinguishable

asked Mar 3 in Combinatory by himgta Active (4k points) | 31 views

0 votes

0 answers

12

Pg 345 Question 23, 6th Edition KH Rosen
How many strings of three decimal digits do not contain the same digit three times? have exactly two digits that are 4s? I know question is easy but the answer is not matching with the one given over here Please someone verify.. Does the word “string” mean that we can take 0 as the first digit as well? [closed]

asked Feb 27 in Combinatory by MiNiPanda Boss (21.9k points) | 40 views

+1 vote

1 answer

13

Rosen example 12 Ch 5.2
Show that every sequence of $n^2$+1 distinct real numbers contains a subsequence of length n+1 that is either strictly increasing or strictly decreasing.

asked Feb 24 in Combinatory by himgta Active (4k points) | 49 views

0 votes

2 answers

14

Kenneth Rosen Example 9 Ch.5.2
Suppose that a computer science laboratory has 15 workstations and 10 servers. A cable can be used to directly connect a workstation to a server. For each server, only one direct connection to that server can be active at any time. We ... 't understand this part. How is it concluded that remaining nine servers are insufficient when at most 59 connections are used?

asked Feb 23 in Combinatory by himgta Active (4k points) | 70 views

0 votes

1 answer

15

Self Doubt
From a group of 5 woman and 7 man we have to select a committee consisting of 2 woman and 3 men. Find the total number of ways to select such committed if (1 and 2 are a separate question) 1. Four man refuse to be in the same committee 2. 2 woman refuse to be in the same committee.

asked Feb 8 in Combinatory by smsubham Loyal (9.2k points) | 66 views

+2 votes

2 answers

16

GATE2019-5
Let $U = \{1, 2, \dots , n\}$ Let $A=\{(x, X) \mid x \in X, X \subseteq U \}$. Consider the following two statements on $\mid A \mid$. $\mid A \mid = n2^{n-1}$ $\mid A \mid = \Sigma_{k=1}^n k \begin{pmatrix} n \\ k \end{pmatrix}$ Which of the above statements is/are TRUE? Only I Only II Both I and II Neither I nor II

asked Feb 7 in Combinatory by Arjun Veteran (395k points) | 2.2k views

+1 vote

1 answer

17

Letters in boxes - combinations
Q .) The number of ways can 5 letter be put in 3 boxes A, B,C such that A has at least 2 letters. My approach: Number of ways to choose 2 letters out of 5 is 5C2. And for each such combination the remaining 3 letter have 3 choice. Therefore 5C2 * 3^3, but this is incorrect. Please point out the fault in my understanding and also the correct way to solve it

asked Jan 31 in Combinatory by shaz (377 points) | 49 views

0 votes

0 answers

18

Arrangement
Number of ways we can arrange 5 books in 3 selves___________ [closed]

asked Jan 31 in Combinatory by srestha Veteran (111k points) | 87 views

0 votes

0 answers

19

The number of ways in which we can place 3 white pawns and 3 black pawns on a 3 . 3 Chessboard is equal to [closed]

asked Jan 30 in Combinatory by mehul vaidya Active (4.3k points) | 26 views

0 votes

0 answers

20

Arrangement Problem
The number of ways, we can arrange 5 books in 3 shelves ________. Given answer 2520 n=3 r=5 so answer is 3-1+5 P5= 7p5= 2520 My answer 3*3*3*3*3= 243 Where am I doing wrong? please help [closed]

asked Jan 29 in Combinatory by Mayank Bansal (83 points) | 44 views

0 votes

2 answers

21

MadeEasy Test Series
What is the number of seven digit integers possible with sum of the digits equal to 11 and formed by using the digits 1, 2 and 3 only?

asked Jan 29 in Combinatory by mehul vaidya Active (4.3k points) | 84 views

+1 vote

3 answers

22

MadeEasy Subject Test 2019: Combinatory - Permutations And Combinations
Q.The number of ways, we can arrange 5 books in 3 shelves ________.

asked Jan 28 in Combinatory by Badayayash Active (1k points) | 347 views

0 votes

1 answer

23

Ace pregate
Let S={a,b,c,d,e}. Number of strings of length 5 possible with the letters of S , so that atleast two A's are consecutive is? Answer given is : 421

asked Jan 27 in Combinatory by Vignaneswarkrishna (187 points) | 44 views

0 votes

1 answer

24

#Combinatorics

asked Jan 24 in Combinatory by vipul2097 (165 points) | 100 views

0 votes

0 answers

25

ace test series question on number of palindromes

asked Jan 24 in Combinatory by Shankar Kakde (373 points) | 28 views

0 votes

0 answers

26

ME ADVANCE TEST
The number of ways in which we can place 3 white pawns and 3 black pawns on a 3 × 3 Chessboard is equal to

asked Jan 23 in Combinatory by himgta Active (4k points) | 57 views

0 votes

1 answer

27

MadeEasy Full Length Test 2019: Combinatory - Permutations And Combinations
The number of ways 5 letter be put in 3 letter boxes A,B,C. If letter box A must contain at least 2 letters.

asked Jan 22 in Combinatory by snaily16 (263 points) | 147 views

+1 vote

0 answers

28

Made Easy Test Series 2019: Combinatory - Permutations And Combinations
in how many ways 6 letters can be placed in 6 envelopes such that at least 4 letters go into their corresponding envelopes ?

asked Jan 19 in Combinatory by ronin_codex (19 points) | 153 views

0 votes

1 answer

29

nptel
Q.1 In a country there are coins of denominations $2, $3, $5 and $7. How many different ways are there to pay exactly $10? approach??

asked Jan 19 in Combinatory by BASANT KUMAR Active (2.4k points) | 33 views

+1 vote

0 answers

30

made easy adv mock
the number of ways in which we can place 3 white pawns and 3 black pawns on a 3*3 chessboard my answer was 12. approach :- we cant have any 2 black pawns or 2 white pawns in the same row or column {3*2*1} * {2*1 * 1} am i correct??

asked Jan 18 in Combinatory by Gate Fever Active (5k points) | 96 views

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