242 Answered Questions for the topic discrete math

Axioms --> Clausal Form

Question :Consider the following sentences and prove that "Diana will win the game"1.All Players are clever.2.Anyone who is clever and dedicated can play the game well.3.Anyone who is playing the... more

Logic , Quantifiers , Logical Formula

Please note that I'll be using the following notations as follows, throughout the question.VX - For all X (Universal Quantifier)EX - For some X(Existential quantifier)Consider the logic formulas G1... more

Logic/Discrete Mathematics

Suppose one wishes to prove that "if all X are Y, then all Z are W". To do this, it would suffice to show that All Z are X, and all Y are W. All X are Z, and all W are Y. All Y are Z, and all W are... more

Discrete Mathematics - Logic

Could anyone explain what is the correct answer and why are the others are incorrect?Let P(x) be a property about some object x of type X. If we want to disprove the claim that "P(x) is true for... more

please make a significant effort to the problem and organized summary of the process you have followed and conclusions you can draw.

Five applicants are to be scheduled for job interviews at five given times. On an application form, each applicant was asked to mark two out of the five times. What is the probability that each of... more

Discrete Mathematics -- Finding the basis of a given set

Let A = {( 2z - w, z, w, z) | z, w ∈ R } ⊂ R4. Find a basis for A and show that it is a basis,

how can I know all the probabilities

Five applicants are to be scheduled for job interviews at five given times. On an application form, each applicant was asked to mark two out of the five times. What is the probability that each of... more

I need a good explanation for this problem please

We’ll call a set of numbers un-average if the average of any two numbers in the set is not in the set. So {1, 3, 6, 7, 10} is un-average, but {1, 3, 6, 7, 9} is not. What is the largest set of... more

anyone can help me with this problem with some explanation

We’ll call a set of numbers un-average if the average of any two numbers in the set is not in the set. So {1, 3, 6, 7, 10} is un-average, but {1, 3, 6, 7, 9} is not. What is the largest set of... more

What is the rank of this matrix?

What is the rank of this matrix? 1 -1-1 1/2

any idea in how to solve this ?

In a giant bin, we stir together 2019 red jelly beans and 2019 green jelly beans. We pull 3 jelly beans out of the bin at a time. There are two possibilities – they are all the same color or there... more

09/10/19

How am I supposed to show the predicate as true?

Given a while loop and a predicate. Show that if the predicate is true before entry to the loop, then it is also true after exit from the loop.predicate: m^3 > n^2 while (m ≥ 0 and m ≤ 100) dom... more

09/07/19

09/01/19

Prove or Disprove

(a) ∀a, b, c, m ∈ Z +, if a ≡ b (mod m), then c a ≡ c b (mod m). (b) For any positive odd integer n, 3|n or n 2 ≡ 1 (mod 12).

09/01/19

Prove or Disprove this statement

There exists a prime number x such that x + 16 and x + 32 are also prime numbers

08/20/19

Express statement in using quantifiers

I can see that it is straight forward when we have an statement like: "For all x, there exists a y, such that f(x,y) = 0", which I can re-write as: "∀ x ∃ y f(x,y) = 0". But, for example, when I... more

08/06/19

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08/05/19

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08/03/19

08/01/19

07/31/19

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