List questions from discrete-mathematics

Published on 06 Mar 2018 - 20:34

112

Views

Analytically finding the value of $n$ for which $n \prod\limits_{k=0}^{n-1}\frac{60-k}{60}$ is maximized

Published on 24 Mar 2026 - 23:48

200

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Does Day and Night on a Klein bottle have a steady state?

Published on 02 Apr 2026 - 6:32

44

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Probability of $n$ sellers meet one user

Published on 27 Mar 2026 - 14:28

60

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which way should i follow to solve the problem regearding Fermat's little theorem?

Published on 25 Mar 2026 - 3:07

840

Views

Simplify $\sum_{k=0}^n{n \choose k}^2(-1)^k$

Published on 25 Mar 2026 - 17:45

56

Views

Is this [a] + [b] = [a + b] a well defined operation for this equivalence relation?

Published on 08 Mar 2018 - 1:24

262

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Is the following statement true or false?: There are integers $x$, $y$ and $z$ such that $15$ divides $2^x \cdot 3^y \cdot 7^z$

Published on 08 Mar 2018 - 3:36

65

Views

Using Direct Proofs in Discrete Math

Published on 30 Mar 2026 - 13:35

162

Views

Using Proof by Contradiction

Published on 08 Mar 2018 - 8:10

89

Views

Changing coins in change-making problem

Published on 25 Mar 2026 - 11:08

1k

Views

Is every subset of a lattice a lattice?

Published on 24 Mar 2026 - 23:45

382

Views

I am having trouble understanding how to prove that the sum of the first $n$ positive even integers is $n^2 + n$ using strong induction.

Published on 26 Mar 2026 - 6:01

48

Views

Proving a recursive relationship

Published on 25 Mar 2026 - 4:34

72

Views

Is there any way to prove that if $4y=4x+13k$ then $y=x+13l$?

Published on 23 Mar 2026 - 1:06

List Question

How to prove a square number minus $2$ will never divide $4$ evenly

Analytically finding the value of $n$ for which $n \prod\limits_{k=0}^{n-1}\frac{60-k}{60}$ is maximized

Does Day and Night on a Klein bottle have a steady state?

Probability of $n$ sellers meet one user

which way should i follow to solve the problem regearding Fermat's little theorem?

Simplify $\sum_{k=0}^n{n \choose k}^2(-1)^k$

Is this [a] + [b] = [a + b] a well defined operation for this equivalence relation?

Is the following statement true or false?: There are integers $x$, $y$ and $z$ such that $15$ divides $2^x \cdot 3^y \cdot 7^z$

Using Direct Proofs in Discrete Math

Using Proof by Contradiction

Changing coins in change-making problem

Is every subset of a lattice a lattice?

I am having trouble understanding how to prove that the sum of the first $n$ positive even integers is $n^2 + n$ using strong induction.

Proving a recursive relationship

Is there any way to prove that if $4y=4x+13k$ then $y=x+13l$?

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