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Recent questions tagged combinatory

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Can any one solve this , 6B and 4G ,at least 2 girls should be together in circular arrangement

Shivank121 asked in Combinatory 3 days ago

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Kenneth Rosen, exercise 6.1, Qs - 42 (d)
How many 4-element DNA sequences contain exactly three of the four bases A, T, C, and G? Solution given: There are four ways to choose which letter is to occur twice and three ways to decide which of the other letters to leave ... wrong. It would be of great help if you can show what combinations my approach is not including but the given solution includes.

Roshakaw asked in Combinatory Mar 3

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1 answer

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#Combinatorics #Self doubt
How many 3 digits number are there which are divisible by 3 and repetition of digits NOT allowed.?

Hattbc asked in Combinatory Feb 17

by Hattbc

186 views

4 votes

1 answer

4

GATE CSE 2023 | Question: 5
The Lucas sequence $L_{n}$ is defined by the recurrence relation: \[ L_{n}=L_{n-1}+L_{n-2}, \quad \text { for } \quad n \geq 3, \] with $L_{1}=1$ and $L_{2}=3$ ... $L_{n}=\left(\frac{1+\sqrt{5}}{2}\right)^{n}-\left(\frac{1-\sqrt{5}}{2}\right)^{n}$

admin asked in Combinatory Feb 15

by admin

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4 votes

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GATE CSE 2023 | Question: 38
Let $U=\{1,2, \ldots, n\},$ where $n$ is a large positive integer greater than $1000.$ Let $k$ be a positive integer less than $n$. Let $A, B$ be subsets of $U$ with $|A|=|B|=k$ and $A \cap B=\emptyset$. We say that a permutation of $U$ separates $A$ from $B$ if ... $2\left(\begin{array}{c}n \\ 2 k\end{array}\right)(n-2 k) !(k !)^{2}$

admin asked in Combinatory Feb 15

by admin

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2 answers

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GATE CSE 2023 | Memory Based Question: 15
The Lucas sequence $L_n$ is defined by the recurrence relation: $L_n=L_{n-1}+L_{n-2}$, for $n \geq 3$ with $L_1=1$ and $L_2=3$. Which one of the options given is TRUE? $L_n=\left(\frac{1+\sqrt{5}}{2}\right)^n+\left(\frac{1-\sqrt{5}}{3}\right)^n$ ... $L_n=\left(\frac{1+\sqrt{5}}{2}\right)^n+\left(\frac{1-\sqrt{5}}{2}\right)^n$

GO Classes asked in Combinatory Feb 6

446 views

1 vote

1 answer

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GATE CSE 2023 | Memory Based Question: 16
How many permutations of $U$ separate $A$ from $B?$ $2\left(\begin{array}{c}n \\ 2 k\end{array}\right)(n-2 k) !(k!)^2$ $\left(\begin{array}{c}n \\ 2 k\end{array}\right)(n-2 k)!(n!)$ $n!$ $\left(\begin{array}{c}n \\ 2 k\end{array}\right)(n-2 k) !(k !)^2$

GO Classes asked in Combinatory Feb 6

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1 answer

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#Combinatorics and Counting # Permutations and Combinations
If each of ‘a’ points on a straight line is joined to each of ‘b’ points on another straight line, excluding the points on the given two lines,then which of the following represents the number of points of intersection of these lines? Select all that apply. (ab(a-1)(b-1))/4 (ab(a-1)(b-1))/2 ab C(a,2) * C(b,2)

lekh asked in Combinatory Jan 21

by lekh

70 views

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0 answers

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#selfdoubt
Let n players enter a chess tournament. How many tournament trees are possible? RULES: a player is eliminated after one loss and games are played until only one entrant is left(assume no ties) My approach: (please check if it is correct) there are 3 possible binary tree skeletons w.r.t ... )C2 * (n-4)C2 *...*1} * 2^(n-1) similarly we can do the remaining cases. Is the above method right?

robinofautumn asked in Combinatory Jan 11

by robinofautumn

45 views

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Unacademy AIMT 1
How many integers are there in the set {1,2,3,…..,1000} with no digit being repeated?

TusharKumar asked in Combinatory Dec 25, 2022

160 views

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1 answer

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Number Of Substrings | Made Easy Test Series
The number of subwords for w=’SCALABLE” is equal to: 34 35 37

Souvik33 asked in Combinatory Dec 21, 2022

311 views

1 vote

0 answers

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DRDO CSE 2022 Paper 1 | Question: 14
Derangements are permutations $\pi$ of the set $\{1,2, \ldots, n\}$ such that $\pi(i) \neq i.$ Compute the number of derangements on the set $1,2, \ldots, n$.

admin asked in Combinatory Dec 15, 2022

by admin

50 views

1 vote

1 answer

13

DRDO CSE 2022 Paper 1 | Question: 15
What is the generating function corresponding to Fibonacci series. \[F_{n}=F_{n-1}+F_{n-2} .\] Note that $F_{0}=F_{1}=1$.

admin asked in Combinatory Dec 15, 2022

by admin

129 views

1 vote

0 answers

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DRDO CSE 2022 Paper 1 | Question: 16
Let us say we have a supply of $1$ rupee and $2$ rupee coins in large quantities. What is the generating function for the number of ways of giving change with $1$ rupee and $2$ rupee coins.

admin asked in Combinatory Dec 15, 2022

by admin

62 views

2 votes

1 answer

15

DRDO CSE 2022 Paper 1 | Question: 18
A gardener wants to buy $3$ neem plants, $5$ rose plants and $1$ banyan plant from a nursery having $7$ neem, $10$ rose and $6$ banyan plants. How many choices does a gardener have?

admin asked in Combinatory Dec 15, 2022

by admin

71 views

1 vote

1 answer

16

DRDO CSE 2022 Paper 1 | Question: 19
How many seven digit numbers are possible with exactly four $4 \mathrm{s}?$

admin asked in Combinatory Dec 15, 2022

by admin

53 views

0 votes

1 answer

17

Random
Consider a 15 element min-heap which follows these conditions. right child of root is7 and one child of node 3 is 9. Calculate how many min heap possible?

shub2204 asked in DS Nov 30, 2022

223 views

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0 answers

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UPSC Assistant Director (Systems) Exam
If a password hacker devised a system trying a password entry system by a program which ran once a second. How much time it would take to crack a password consisting of 4 out of the 24 alphabet letters? (a) 40 hrs approximately (b) 46 hrs approximately (c) 52 hrs approximately (d) 58 hrs approximately

Kumar RahulSingh asked in Computer Networks Nov 28, 2022

by Kumar RahulSingh

132 views

0 votes

3 answers

19

How many distinct passwords are possible?
An e-mail password must contain three characters. The password has to contain one numeral from 0 to 9, one upper case and one lower case character from the English alphabet. How many distinct passwords are possible? (A) 6,760 (B) 13,520 (C) 40,560 (D) 1,05,456

Vaishnavi Gadhe asked in Quantitative Aptitude Nov 18, 2022

by Vaishnavi Gadhe

242 views

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Recent questions tagged combinatory