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Recent questions tagged counting

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1

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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2 answers

2

Discrete Maths by Kenneth Rosen, exercise 6.1, Qs - 12
How many bit strings are there of length six or less, not counting the empty string? Solution given:- We use the sum rule, adding the number of bit strings of each length up to 6. If we include the empty string, then we get 2^0 ... a binary string such as 000100 of length 3, and so on Please let me know if I am wrong somewhere in my approach.

Roshakaw asked in Combinatory Mar 2

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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

0 answers

4

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

929 views

1 vote

1 answer

5

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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0 votes

1 answer

6

#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

0 votes

1 answer

7

Operating System
How c came into picture.

Overflow04 asked in Operating System Dec 31, 2022

90 views

0 votes

1 answer

8

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

1 answer

9

Unacademy All India Mock 18 Dec. 2022.Counting
Let S={0,1,2,3,….,9}. The number of subsets of 5 contains at least two even numbers? HELP ANYONE Ans.-832

Rajender gill asked in Set Theory & Algebra Dec 19, 2022

by Rajender gill

292 views

1 vote

0 answers

10

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

2 votes

1 answer

11

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

12

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

13

Solve the simultaneous recurrence relations
an = an−1 + bn−1 bn = an−1 − bn−1 with a0 = 1 and b0 = 2.

chinman12 asked in Combinatory Nov 25, 2022

159 views

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0 answers

14

Consider a Diffie-Hellman scheme with a common prime q=11 and a primitive root a=2. a. If user A as public key YA=9 what is as private key XA? b. If user B has public key YB= 3 what is the shared secret key K?

JustPakYt asked in Computer Networks Nov 14, 2022

557 views

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0 answers

15

Consider a system having 22 resources of the same type. These resources are shared by 4 processes P, Q, Rand Shaving peak demands of 3, 6, a and b respectively. How many ordered pairs (a, b) are possible, such that the system is deadlock free?

damz1499 asked in Operating System Nov 7, 2022

336 views

1 vote

1 answer

16

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 7, 2022

245 views

0 votes

1 answer

17

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

Lakshman Patel RJIT asked in Combinatory Sep 1, 2022

by Lakshman Patel RJIT

261 views

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Recent questions tagged counting