Recent questions and answers in Combinatory

0 votes

0 answers

1

Doubt
How many ways 3 consecutive numbers can be chosen from numbers lying between 1-100?

asked 9 hours ago in Combinatory by aditi19 Junior (701 points) | 22 views

0 votes

1 answer

2

Rosen-Pigeonhole Principle
An arm wrestler is the champion for a period of 75 hours. (Here, by an hour, we mean a period starting from an exact hour, such as 1 P.M., until the next hour.) The arm wrestler had at least one match an hour, but no more than 125 total matches. Show that there is a period of consecutive hours during which the arm wrestler had exactly 24 matches.

answered 1 day ago in Combinatory by srestha Veteran (96.2k points) | 5 views

0 votes

1 answer

3

Combination
The number of ways can three 0’s, three 1’s and three 2’s be arranged, so that no three adjacent digits are the same in an arrangement is ________

answered 1 day ago in Combinatory by Deepanshu Active (2k points) | 33 views

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0 answers

4

keneth rosen
Find the number of primes less than 200 using the principle of inclusion–exclusion.

asked 3 days ago in Combinatory by sushmita Boss (13.9k points) | 15 views

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0 answers

5

inclusion exclusion principle
In how many ways can we arrange the letters in the word '' ARRANGEMENT" such that 1.) there are exactly 2 consecutive same letters . 2.) atleast 3 consecutive same letters .

asked 3 days ago in Combinatory by sushmita Boss (13.9k points) | 48 views

0 votes

0 answers

6

Combinatorics
The number of ways six distinct balls be distributed into 3 distinct urns. If each urn contain atleast one ball are ________.

asked 5 days ago in Combinatory by srestha Veteran (96.2k points) | 47 views

0 votes

2 answers

7

Classroom
How many 5 letter (lower case) passwords are possible with with at least 2 'a's?

answered 6 days ago in Combinatory by arvin Loyal (8.4k points) | 46 views

+2 votes

4 answers

8

How many solutions are there to the equation x+y+z=17 ?They are non-negative integers

answered 6 days ago in Combinatory by srestha Veteran (96.2k points) | 957 views

0 votes

1 answer

9

Combination with repetition allowed
How many solutions are there to the inequality x1 + x2 + x3 ≤ 11 where x1, x2, x3 are nonnegative integers? Hint: introduce a variable x4 such that x1 + x2 + x3 + x4 = 11. Ans. C(4+11-1,11). My doubt is if the question had been x1 + x2 + x3 >= 11. then how would have we solved it ?

answered Sep 18 in Combinatory by goxul Active (2.4k points) | 24 views

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0 answers

10

Permutation and Combination
How many ways are there to select 8 coins from a piggy bank with 100 pennies and 80 nickels ? Ans. C(2+8-1,8) Suppose the Question had been :- How many ways are there to select 8 coins from a piggy bank with 6 pennies and 6 nickels? Now what would have been ... penny , 6 nickel 3 penny , 5 nickel and so on... But for a large number it would be a problem so how to do it ?

asked Sep 18 in Combinatory by Na462 Loyal (5.7k points) | 12 views

0 votes

1 answer

11

#Combinatorics #Self Doubt
The number of ways of dividing 3 men and 3 women into 3 couples each consisting of a man and woman is: ____

answered Sep 18 in Combinatory by smsubham Loyal (7.6k points) | 63 views

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0 answers

12

Rosen-Doubt
How many ways are there to seat six people around a circular table where two seating are considered the same when everyone has the same two neighbors without regard to whether they are right or left neighbors? what does this means-'two seating are considered the same when everyone has the same two neighbors without regard to whether they are right or left neighbors'?

asked Sep 17 in Combinatory by aditi19 Junior (701 points) | 13 views

0 votes

0 answers

13

Rosen Doubt
How many functions are there from set {1,2,3.....n}, where n is a positive integer, to set {0,1} that assigns 1 to exactly one of the positive integers less than n?

asked Sep 17 in Combinatory by aditi19 Junior (701 points) | 19 views

0 votes

0 answers

14

Rosen 6.4 Binomial Coefficients
HI , someone please explain this theorem with an easy explanation

asked Sep 15 in Combinatory by Abhijit Sen 4 (257 points) | 16 views

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0 answers

15

Test Series

asked Sep 13 in Combinatory by nandini gupta Active (1.8k points) | 19 views

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0 answers

16

combinatrics
Number of ternary sequences possible with 6 ones ,6 twos and 4 zeros ,so that each 1 is followed by 2

asked Sep 12 in Combinatory by sajal singh (95 points) | 41 views

+2 votes

2 answers

17

Generating function
The coefficient of in the expansion of is

answered Sep 12 in Combinatory by arvin Loyal (8.4k points) | 193 views

+24 votes

4 answers

18

GATE2004-75
Mala has the colouring book in which each English letter is drawn two times. She wants to paint each of these $52$ prints with one of $k$ colours, such that the colour pairs used to colour any two letters are different. Both prints of a letter can also be coloured with the same colour. What is the minimum value of $k$ that satisfies this requirement? $9$ $8$ $7$ $6$

answered Sep 6 in Combinatory by 2019_Aspirant (27 points) | 2.3k views

0 votes

2 answers

19

testbook series
Number of ways of arranging the word "TESTBOOK" such that E always comes between O's.

answered Sep 6 in Combinatory by Shaik Masthan Boss (27.8k points) | 44 views

0 votes

1 answer

20

Combinatory
How many ways can we distribute at most 10 identical balls to 3 boxes?

answered Sep 6 in Combinatory by Mk Utkarsh Boss (17k points) | 82 views

+1 vote

1 answer

21

Arrangement problem
The number of distinct bracelets of five beads made up of red, blue, and green beads (two bracelets are indistinguishable if the rotation of one yield another) is, a. 243 b. 81 c. 51 d. 47

answered Sep 6 in Combinatory by manisha11 Junior (845 points) | 18 views

+7 votes

3 answers

22

combinatory
How many ways are there for a horse race with 4 horses to finish if ties are possible?(any number of horses may tie)

answered Sep 3 in Combinatory by Magma Active (2.8k points) | 270 views

0 votes

1 answer

23

Rosen Discrete Maths book. Recurrence Relations. Example #3

answered Sep 3 in Combinatory by HeadShot Active (1.3k points) | 20 views

0 votes

0 answers

24

Maths
[closed]

asked Sep 3 in Combinatory by HeadShot Active (1.3k points) | 17 views

0 votes

1 answer

25

Combinatorics
How to approach such questions. Please explain in detail if possible, Thank you !

answered Sep 2 in Combinatory by Prateek Raghuvanshi Loyal (5.8k points) | 35 views

0 votes

2 answers

26

Combinatorics-Self Doubt
Number of ways to distribute 5 distinct toys to 3 children A,B,C such that each one of them gets atleast one toy. My answer come to be 75.Is it correct? Also, when toys are not distinct, will answer change?

answered Aug 29 in Combinatory by goxul Active (2.4k points) | 43 views

0 votes

0 answers

27

Combinatory
The number of ways to distribute 6 different gifts to 2 student from total 4 students are ________.

asked Aug 28 in Combinatory by srestha Veteran (96.2k points) | 78 views

0 votes

0 answers

28

Injective Function
The number of ways possible to form injective function from set A set B where |A| = 3 and |B| = 5 such that pth element of set A cannot match with pthelement of set B are _________. [closed]

asked Aug 28 in Combinatory by srestha Veteran (96.2k points) | 18 views

0 votes

1 answer

29

Discrete Math
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.

answered Aug 28 in Combinatory by goxul Active (2.4k points) | 18 views

0 votes

1 answer

30

basic doubt
In how many ways can 10 similar roses be distributed among 3 girls? In how many ways can 10 different roses be distributed among 3 girls?

answered Aug 25 in Combinatory by arvin Loyal (8.4k points) | 26 views

0 votes

0 answers

31

Rolling of a dice
The number of ways to roll 5 six sided dice to get sum of 25 is ________. _________________________________________________________ if solving with generating function, then why dividing by $\left ( 1-x \right )$ if equation is $\frac{x\left ( 1-x^{6} \right )}{\left ( 1-x \right )}$?

asked Aug 23 in Combinatory by srestha Veteran (96.2k points) | 34 views

0 votes

1 answer

32

Testbook Test series
In how many ways we can wear 4 distinct rings in 3 particular fingers?

answered Aug 21 in Combinatory by arvin Loyal (8.4k points) | 23 views

+1 vote

1 answer

33

Combinations and Permutations
In how many ways can 12 different books be parceled into 4 packets so that 3 of the packets contain 3 books each and one of them two books atleast, if all the packets have the same destination?

answered Aug 19 in Combinatory by arvin Loyal (8.4k points) | 69 views

+2 votes

2 answers

34

Permutations with restrictions
$Z =\left \{ {A,B,C,D,E,F,G} \right \}$ How many permutations of all elements of set $Z$ are possible when A cannot appear after D and C cannot appear after F C cannot appear after D

answered Aug 17 in Combinatory by aditi19 Junior (701 points) | 67 views

0 votes

0 answers

35

Combinatorics
There are 100 students. 85 choose Math, 80 choose Physics, 75 choose Chemistry, 70 choose Biology. What is the minimum number of students choosing all 4 subjects? Assume each student chosen at least one subject?

asked Aug 16 in Combinatory by aditi19 Junior (701 points) | 20 views

+1 vote

1 answer

36

Rosen book Generating Functions pg no 430

answered Aug 15 in Combinatory by shubham6596 (189 points) | 25 views

0 votes

1 answer

37

Linear Recurrence relations
$\text{What is the general form of homogeneous solution for linear nonhomogeneous recurrence relation }$ $a_n = 8 a_{n-2} - 16a_{n-4}$

answered Aug 8 in Combinatory by arvin Loyal (8.4k points) | 21 views

+18 votes

3 answers

38

GATE2001-2.1
How many $4$-digit even numbers have all $4$ digits distinct $2240$ $2296$ $2620$ $4536$

answered Aug 4 in Combinatory by sutanay3 Active (2.6k points) | 2.7k views

+2 votes

2 answers

39

Permutation
Given a integer N greater than zero. How many sequences of 1's and 2's are there such that sum of the numbers in the sequence = N ? (not necessary that every sequence must contain both 1 and 2 ) example : for N = 2 ; 11,2 => ans = 2 sequences of 1's and 2's for N = 3 ; 11,12,21 => ans = 3 sequences of 1's and 2's

answered Aug 2 in Combinatory by Utkarsh Joshi Junior (653 points) | 186 views

+2 votes

3 answers

40

Find out the recurrence relation for the given problem

answered Aug 2 in Combinatory by Utkarsh Joshi Junior (653 points) | 565 views

tags	tag:apple
author	user:martin
title	title:apple
content	content:apple
exclude	-tag:apple
force match	+apple
views	views:100
score	score:10
answers	answers:2
is accepted	isaccepted:true
is closed	isclosed:true

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