888 Answered Questions for the topic discrete math

Discrete Math

09/30/22

How many integers between 1 and 21,000 including both 1 and 21,000 are divisible by 2, 3, 5, or 7?
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Discrete Math

09/29/22

How many integers between 1 and 21,000, including both 1 and 21,000, are divisible by 2, 3 or 7?
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Discrete Math

09/29/22

How many integers between 1 and 7,000, including both 1 and 7,000, are divisible by 2, 5 or 7?
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Discrete Math

09/28/22

discrete math - binomial coefficients
Find three integers a, b, and c such that aC(m,3) + bC(m,2) + cC(m,1) = m3. Use this fact to compute the sum 13 + 23 +...+ n3. I have gotten the first part, a =6, b = 6, c = 1 but I am stuck on the... more
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Discrete Math

09/28/22

discrete math - binomial coefficients
a restaurant needs at least one cook and at least one waitress to open. The owner hires three cooks and three waitresses, each of whom is equally likely to show up for work or call in sick. What... more
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Discrete Math

09/28/22

discrete math - permutations of nondistinct objects
Find the number of ways m + n different objects can be divided into two (indistinguishable) subsets containing m and n objects, respectively.
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Discrete Math

09/28/22

discrete math - permutations of nondistinct objects
Compute the number of different sequences consisting of 3 x's, 4 y's, and 7 z's. Use this to compute the number of different walks from (1,1,1) to (3,5,7) if only unit steps in the positive x,... more
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Discrete Math

09/28/22

Discrete math - binomial coefficients
Show that the coefficient of xn in (1 + x + x2)n is 1 + [n(n-1)]/(1!)2 + [n(n-1)(n-2)(n-3)]/(2!)2 +...
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Discrete Math

09/28/22

discrete math - binomial coefficients
Show that C(m,0)C(n,k) + C(m,1)C(n,k+1) +...+ C(m,m)C(n,k+m) = C(m+n,n-k).
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Discrete Math

09/28/22

Discrete math - binomial coefficients
show that C(p,1), C(p,2),..., C(p,p-1) are all divisible by p if and only if p is a prime
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Discrete Math Math Science Physics

09/24/22

Help needed with physics problem
A 2.5-cm-diameter parallel-plate capacitor has a 2.1 mm spacing. The electric field strength inside the capacitor is 1.0×10^5 V/m .How much charge is on each plate?My answers were: 6.0*10^-8... more
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09/21/22

Max Flow Min Cut Question
Hello!I'm trying to prove that for any given edge along a minimum cut in a flow network, the capacity of that edge is equal to the flow along that edge. Basically, if you take any edge on a minimum... more
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Discrete Math

09/18/22

Full disjunctive normal form
Can someone help me with converting this into full disjunctive normal form?(𝑌⇒𝑋∨𝑌∧¬𝑍)∧¬(𝑍⇔𝑋∧¬𝑌) 
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Discrete Math Math Calculus Physics

09/18/22

stuck on math question
The surface x^2 + y^2 = 7 is a circular cylinder.What is an equation for the cross section at y = −7 using x and z.What is an equation for the cross section at y = 0 using x and z.What is an... more
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Discrete Math Math Calculus Physics

09/18/22

help needed w/ math question
A pair of parametric equations is given below.x = 4 sin(t),  y = 4 cos(t), 0 ≤ t ≤ 𝜋Find a rectangular-coordinate equation for the curve by eliminating the parameter.My answer is y=sqrt... more
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Discrete Math

09/16/22

Discrete math help (combination of numbers
Question: In how many ways can 15 be written as the sum of 2’s and 3’s if the order of the summands is a) relevant or b) not relevant
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Discrete Math

09/08/22

Show that (p∨q)∧(¬p∨r)→(q∨r)is a tautology.
How to do this without using a truth table?
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Discrete Math Math

09/05/22

Given 10^0.69897 = 5, find log 500
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Discrete Math

08/25/22

Language of Sets---Discrete Math
Which of the following sets are equal? (Select all that apply.)A = {3, 4, 5}B = {x  R| 2 ≤ x < 6}C = {x  R| 2 < x < 6}D = {x  Z| 2 < x < 6}E = {x  Z+| 2 < x < 6}I selected A,... more
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Discrete Math Math Statistics Probability

08/10/22

Probability &statistics
News reports tell us that the average American is overweight. Many of us have tried to trim down to our weight when we finished high school or college. And, in fact, only 20% of adults say they do... more
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Discrete Math

08/09/22

Euler vs. Hamiltonian path or circuit for a bus route
Let's say that we have to pick up and drop off children at different stops along a bus route. Would a Euler path and circuit be more practical, or a Hamiltonian path or circuit for a mapping... more
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Discrete Math Math

07/29/22

Let 𝑎, 𝑏 ∈ ℤ and 𝑚 ∈ ℕ. Prove that if 𝑎 ≡ 𝑏(mod 𝑚), then 𝑎 3 ≡ 𝑏 3(mod 𝑚).
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Discrete Math Math

07/26/22

Convert into hours plz

Wut is 0.25335 in hours
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Discrete Math Math

07/19/22

You distribute 25 identical pieces of candy among five children. In how many ways can this be done?
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Discrete Math Math

07/19/22

How many 2-element multisets can be made from the 26 letters of the alphabet?
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