888 Answered Questions for the topic discrete math

Discrete Math

07/28/20

Prove the following: πΉπ‘œπ‘Ÿ π‘š π‘Žπ‘›π‘‘ 𝑛 ∈ β„€, 𝑖𝑓 π‘š 𝑖𝑠 𝑑𝑖𝑣𝑖𝑠𝑖𝑏𝑙𝑒 𝑏𝑦 4 π‘Žπ‘›π‘‘ 𝑛 𝑖𝑠 π‘Žπ‘›π‘¦ 𝑒𝑣𝑒𝑛 π‘–π‘›π‘‘π‘’π‘”π‘’π‘Ÿ,π‘‘β„Žπ‘’π‘› π‘š βˆ™ 𝑛 𝑖𝑠 𝑑𝑖𝑣𝑖𝑠𝑖𝑏𝑙𝑒 𝑏𝑦 8.
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Discrete Math Math Probability

07/23/20

Data Management Probability Distributions and Discrete Probability Question
Hi, I am doing a question for my data management class, the unit is probabilty distrubtions and discrete probabilty and I would like to know how to go about it. A Euchre hand consists of 5 cards... more
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Discrete Math

07/22/20

Find the 5th term, 8th term, and nth term of the G.P. 3, 27, 81, 243, …
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Discrete Math

07/20/20

How many Hamilton circuits exist in 𝐾_10?
i dont know how to show how many circuits are within K sub 10 and i need help with it. Im using the equationn(n-1)/2 but i dont know if this is the right equation
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Discrete Math Probability

07/14/20

What is the probability that a student picked at random took Precalculus, given that she passed Calculus?

A college requires certain students to take Precalculus prior to taking Calculus. Thirty-five percent of students that eventually take Calculus take the Precalculus course. Sixty percent of those... more
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Discrete Math Probability

07/13/20

What is the probability that all three are queens?
Three cards are drawn in succession from a standard 52 card playing deck without replacement. What is the probability that all three are queens?
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Discrete Math Probability

07/13/20

what is the probability that the applicant speaks French or German?
Of 78 job applicants to the United Nations, 31 speak French, 41 speak German and 9 speak French and German. If a job applicant is chosen at random, what is the probability that the applicant speaks... more
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Discrete Math Discrete Mathematics

07/10/20

Prove that N has the same carnality as {m€Z m is even Ξ› m ≀ -100}
Prove that N has the same carnality as {m€Z m is even Ξ› m ≀ -100}
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Discrete Math

06/21/20

Let A = {2, 4, 8}
0. Let A = {2, 4, 8}, B = {3, 6, 12}, C = {w, x, y, z}, the function f : A→B be given by the rule f = {(2, 3), (4, 6), (8, 12)}, and the function g : B→C be given by the rule g = {(3, z), (6, z),... more
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Discrete Math

06/21/20

Let G be a complete graph with 12 vertices. How many edges does G have?
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Discrete Math

06/21/20

Determine Each of the following
Let the universal set U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {2, 4, 6, 8}, and B = {1, 2, 3, 4}. Determine each of the following. (5 pts.) a) AβˆͺB = b) A∩B = c) Bβˆ’A = d) Aβ€² = e) βˆ…β€²
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Discrete Math

06/21/20

Prove that if n is an odd integer, then n2 is an odd integer
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Discrete Math

05/31/20

Let 𝐴 be the set of letters in the English alphabet.

Let 𝐴 be the set of letters in the English alphabet. Show that the relation R = {(𝛼,𝛽)βˆˆπ΄Γ—π΄: 𝛼 π‘π‘œπ‘šπ‘’π‘  π‘π‘’π‘“π‘œπ‘Ÿπ‘’ 𝛽 𝑖𝑛 π‘Žπ‘™π‘β„Žπ‘Žπ‘π‘’π‘‘π‘–π‘π‘Žπ‘™ π‘œπ‘Ÿπ‘‘π‘’π‘Ÿ} is a strict partial ordering on A
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Discrete Math

05/30/20

Solve the linear congruence 3x ≑ 7 mod 13 for x
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Discrete Math

05/30/20

Show that the relation R = {(a, b) ∈ β„€ Γ— β„€: |a| = |b|} is an equivalence relation on β„€.
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Discrete Math

05/26/20

Can anyone please give confirmation if those conversion I have done properly or not
Not all students copy from his/her peers ~Vx student(x) -> cheat(x)Some students copy from peers i.e. they cheatEx student(x) ^ cheat(x)Those who do not cheat love everybodyExVy student(x) ^... more
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Discrete Math

05/17/20

Let a, b, and c be nonzero integers.
Let a, b, and c be nonzero integers. Prove that if a divides b and a divides c, then a divides the difference b βˆ’ c.
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Discrete Math

05/17/20

Let 𝑝 and π‘ž be any propositions.

Let 𝑝 and π‘ž be any propositions. Construct a truth to table to show that (π‘βˆ¨Β¬π‘ž)∨(Β¬π‘βˆ¨π‘ž) is a tautology
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Discrete Math

05/17/20

Solve the recurrence relation

Solve the recurrence relation π‘Žn=3π‘Žn-1+2 where π‘Ž1=1. (That is, provide a closed formula for the sequence.)
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Discrete Math

05/16/20

Prove that the product of an odd integer and an even integer is an even integer.

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Discrete Math

05/13/20

Sum of Product Expansion
Find sum of product expansion of Boolean function F(x, y, z) =x Μ„y+ Μ„xyz.
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Discrete Math

05/13/20

Breadth-First Search
Use breadth-first search to produce a spanning tree for the given simple graph. Choose β€˜d’ as the root of this spanning tree and assume that the vertices are ordered alphabetically.
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Discrete Math

05/12/20

prove or disprove: the sum of 3 plus the square of any odd number is even
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Discrete Math Math Algebra 1 Algebra 2

05/05/20

Prenex Normal Form (Iff)
I translate iff to implication and then or/and form. But I can't distribute compound quantifiers on equation. Can you help me to solve this to translate this equation to prenex normal form?
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Discrete Math Math Calculus Logic

05/05/20

Rules of Inference Validity
I'm confused in the equations. Can you help me to find this validity using rules of inference methods or resolution principle?
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