Expert Help & Insights for Discrete Mathematics Answers

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In how many ways can a 10-question true-false exam be answered? (Assume that no questions are left blank)

sanuluy 2021-08-18

Discrete Mathematics Basics
1) Find out if the relation R is transitive, symmetric, antisymmetric, or reflexive on the set of all web pages.where $(a, b) \in R$ if and only if
I)Web page a has been accessed by everyone who has also accessed Web page b.
II) Both Web page a and Web page b lack any shared links.
III) Web pages a and b both have at least one shared link.

banganX 2021-08-18

Solve the following.
a) Find a closed formula for the sequence $6, - 12, 18, - 24, 30, - 36, \dots$
b) Find the sum $\sum_{k = 1}^{4} \frac{1}{k!}$ .

vestirme4 2021-08-18

Discrete Math
Letting $s_{1} = 0$ , find a recursive formula for the sequence 0,1,3,7,15,...

Brennan Flores 2021-08-18

Prove that all elements in S are multiples of 3 by structural induction.
$3 \in S$
$x, y \in S \to (x + y) \in S$

emancipezN 2021-08-18

An Example with Intervals
Let the universal set be the set R of all real numbers and let $A = {x \in R ∣ - 1 < x \leq 0}$ and $B = {x \in R ∣ 0 \leq x < 1} .$
a) Find $A \cup B$
b) Find $A \cap B$
c) Find $A^{c}$

ankarskogC 2021-08-18

Prove the following statement using mathematical induction or disapprove by counterexample.
If you use mathematical induction, then you should explain each step and you should highlight $P (n), P (k), P (k + 1),$ the inductive hypothesis, etc. Explaining each step is very important.
$1 + 5 + 9 + 13 + \dots + (4 n - 3) = \frac{n (4 n - 2)}{2}$

midtlinjeg 2021-08-18

What if the centipede wants 50 (possibly different) matching pairs, one pair for each pair of feet? Consider first a centipede who only owns green and brown socks, then a centipede who also ownsstripey socks, and then a centipede who owns k different colors of socks.

Rui Baldwin 2021-08-17

Let G be the graph with vertices $v_{1}, v_{2}$ and $v_{3}$ and the matrix $[\begin{matrix} 1 & 1 & 2 \\ 1 & 0 & 1 \\ 2 & 2 & 0 \end{matrix}]$
To find the number of walks of from $v_{1}$ to $v_{3}$ we need to find matrix $A^{2}$

Harlen Pritchard 2021-08-17

How many elements are in the set { 2,2,2,2 } ?

Rivka Thorpe 2021-08-17

Discrete math
Given $U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, S_{1} = {1, 3, 5, 7, 9}, S_{2} = {1, 2, 4, 6, 8, 10}$ . What is the $S_{1} \cap S_{2}$ in bit strings?
Select one :
1) 00
2) 01
3) 0000000000
4) 0000000001
5) 1000000000

pedzenekO 2021-08-17

1) $110001$ binary number is equivalent to which of the following decimal number
a) $48$
b) $49$
c) $59$
d) $58$
2) Which among the following is the recursive definition of Factorial, i.e., n! ?
a) $f (0) = 0, f (n) = (n) f (n - 1),$ where $n \in Z$ and $n \geq 1$
b) $f (0) = 1, f (n) = (n + 1) f (n - 1),$ where $n \in Z$ and $n \geq 1$
c) $f (0) = 1, f (n) = (n) f (n - 1),$ where $n \in Z$ and $n \geq 1$
b) $f (0) = 0, f (n) = (n + 1) f (n - 1),$ where $n \in Z$ and $n \geq 1$

preprekomW 2021-08-17

A question from Discrete Mathematics. Topic Summations.
Compute the following summation:
$\sum_{k = 1}^{2 k (1 + k)} k (k + 1)$
$k = 1$

Ava-May Nelson 2021-08-16

We have a recursively defined sequence $a_{n}$ .
$a_{0} = 0, a_{1} = 3$ , and $a_{n} = 3 a_{n - 1} - 2 a_{n - 2}$ for $n \geq 2$
We would like to prove that f or all $n \geq 0, a_{n} = 3 \cdot 2^{n} - 3$ .
Prove this using the stronger mathematical induction.

CMIIh 2021-08-16

[Graph Theory - Discrete Mathematics] How do you solve this?
Let $G = (V, E)$ be a connected simple graph, and call the edge $(u, v) \in E$ essential if the graph obtained by removing (u, v) from G is disconnected. Show that G is a tree if and only if all its edges are essential.

Albarellak 2021-08-16

What is the cardinality of the set
${f ∣ f : [7] \to [7], f$ is a bijectioon such that $f (i) \neq i,$ for every $i = {1, 2, 3, 4, 5, 6, 7}$ ?

Kaycee Roche 2021-08-16

1) What is the remainder $(r)$ when $- 43$ divided by $12 ?$
a) None of the Option
b) $- 5$
c) $5$
d) $7$
2) Consider the recursively defunction:
$f (0) = 2, f (n) = 2 f (n - 1) + 5$
where n is an integer greater than 0.
The function value at $n = 2, i . e ., f (2) = ?$
a) $- 23$
b) $23$
c) $7$
d) $- 7$

ringearV 2021-08-16

Discrete mathematics
If $x_{1} = 2, x_{n} = 4 X_{n - 1} - 4 n \forall n \geq 2$ .
Find the general term xn.

generals336 2021-08-15

This issue uses discrete probability and combinatorics in mathematics. Please explain each step in detail and do not copy solutions from Chegg.
Show that there are two numbers whose difference is a multiple of 37 in every set of 100 integers using the pigeonhole principle. Identify the function (including its domain and target) outlined in either of our class resources while explaining how the principle is being applied.

Ernstfalld 2021-08-15

logic and discrete mathmatics
Determine the truth value of the statement $\exists x \forall y (x \leq y^{4})$ if the domain for the variables consists of
a) the positive real numbers.
b) the integers.
c) the nonzero real numbers.

Dealing with discrete Math is an interesting subject because discrete Math equations can be encountered basically anywhere from scheduling of sports games and live shows to education where each person is examined online. It is a reason why discrete math questions that we have collected for you are aimed at solutions that go beyond equations to provide you with the answers that will help you understand the concept. Still, discrete Math equations are explained as well by turning to problems in computer science, programming, software, and cryptography among other interesting subjects like software and mobile apps development.

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