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Which of the following sets are well ordered under the specified operation? Justify why they are/ are not well-ordered
(a) $R + U_{0} <$
(b) $[0, 1], >$
(c)The set of integers divisible by 5, <
(d) $0, 1, . . ., n | n \in N, \subseteq$

arenceabigns 2021-08-22

Discrete Math Question
Provide a rule to define a relation R on N that is reflexive and transitive but not symmetric. Prove that the relation you define is reflexive and transitive.

babeeb0oL 2021-08-22

Discrete Math
Evaluate.
a) $55 mod 7$ b) $- 101 \div 3$ .

postillan4 2021-08-22

This is a discrete math (combinatorics and discrete probability) problem. Please explain each step in detail and do not copy solutions from Chegg.
Consider the random process where a fair coin will be repeatedly flipped until the sequence TTH or THH appears. What is the probability that the sequence THH will be seen first? Explicitly state the value of this probability and walk through the development of the calculation that lead to this value.

BolkowN 2021-08-22

Discrete Math
Show that if $A ⧸ \subset B^{c}$ , then $A \cap B = ϕ$ . Hint:Use the contrapositive.

remolatg 2021-08-22

If $x_{1} = - 1, x_{2} = 1, X_{n} = 3 X_{(n - 1)} - ∣ 2 X_{(n - 2)}, \forall n \geq 3 .$ Find the general term $X_{n}$

aortiH 2021-08-21

What is the coefficeint of $a^{2} b^{3} c^{4}$ in the expansion of
${(a + 2 b + 3 c)}^{9}$ ?

Bergen 2021-08-21

Discrete math Question.
Suppose your friend makes the following English statement "If $X \oplus Y$ , but $\sim X$ , then we have Y." Convert it into a statement form. Then show that your friend's statement is valid. Is it true that " $X \oplus Y$ , but $\sim X$ " is equivalent to Y?

Anonym 2021-08-21

Let $A = {a, b, c, d, e, f} .$ Define the relation $R = {(a, a), (a, c), (b, d), (c, d), (c, a), (c, c), (d, d), (e, f), (f, e)}$ on A.
a) Find the smallest reflexive relation $R_{1}$ such that $R \subset R_{1}$ .
b) Find the smallest symmetric relation $R_{2}$ such that $R \subset R_{2}$
c) Find the smallest transitive relation $R_{3}$ such that $R \subset R_{3}$ .

ringearV 2021-08-20

For each of the following sets A,B prove or disprove whether $A \subseteq B$ and $B \subseteq A$
a) $A = {x \in Z : \exists_{y \in z} x = 4 y + 1}$
$B = {x \in Z : \exists_{y \in z} x = 8 y - 7}$

vazelinahS 2021-08-20

Solve the recursion:
$A_{1} = 1 . A_{2} = - 1$
$A_{k} = 5 A_{k - 1} - 6 A_{k - 2}$

aflacatn 2021-08-20

Discrete Math
Prove that Z has no smallest element.

boitshupoO 2021-08-20

This is for Discrete Math.
Three horses A,B and C, can finish a race in how many ways? (ties are possible)
1) 10
2) 15
3) 9
4) 12
5) 13

Jason Farmer 2021-08-20

Determine whether the following set equivalence is true
$(A \cup B) (A \cap C) = B \cup (A C)$

sagnuhh 2021-08-20

Discrete Math Question
Prove the following statement:
"The sum of any two rational numbers is rational."

Dottie Parra 2021-08-20

Show that any group of 20 people will at least have one pair of members who have the same number of friends. (Here, you can let $S = {p_{1}, p_{2}, \dots, p_{20}}$ be an arbitrary set of 20 people, and define $n (p_{i})$ for $1 \leq i \leq 20$ to be the number of friends for person $p_{i}$ within this group. Assume friendship is symmetric, so if someone has 0 friends in the group then there cant

Ava-May Nelson 2021-08-20

Discrete Mathematics
a) Write the proposition for the following English sentence:
1) a) If Benjamin have cough, fever, and no smell, Benjamin is COVID19 positive.
b) Write inverse, converse and countrapositive of English sentence in (A)
2) Let p and q be the propositions "The election is decided" and "The votes have been counted," respectively. Express each of these compound propositions as English sentences.
b) Proof using laws of logic
1) $(p \land q) \to p$ is tautology
2) $⌝ p \leftrightarrow q \Leftrightarrow p \leftrightarrow ⌝ q$

Braxton Pugh 2021-08-19

Prove ar disprove:
$⟨ Z_{4}, \oplus_{4}, 0 ⟩ \tilde{=} ⟨ B_{2}, +, 00 ⟩$
where $(+)$ is the Boolean (bitwise) sum on $B_{2}$

vestirme4 2021-08-19

Finding a Cartesian Product.
Let $A_{1} = {x, y}, A_{2} = {1, 2, 3},$ and $A_{3} = {a, b} .$
a) Find $A_{1} \times A_{2} .$
b) Find $A_{1} \times A_{2} \times A_{3} .$

tricotasu 2021-08-19

Let R be a relation on $Z$ defined by
$R = {(p, q) \in Z \times Z ∣ p - q$ is a multiple of $3}$
a) Show that R is reflexive.
b) Show that R is symmetric.
c) Show that R is transitive.

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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