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How many $5$-digit numbers are there, so that $0,1$ and $2$ are NOT included, $3,4$ and $5$ have to be included

Proving two integers are relatively prime using Bezout's Theorem.

How many rectangles or triangles.

How many solutions does the equation $\sum_{i=1}^{k}{x_i}=c$ have, given that the $x_i\in\mathbb{Z}$ and $0\leq x_i\leq d$?

A route that passes through all streets of the city

Combinatorial proof of $\binom{nk}{2}=k\binom{n}{2}+n^2\binom{k}{2}$

Properties of a Powerset Graph

Proving Equivalence Relations On A Set

How to Find Characteristic Equations?

Closed form of the following Recurrence Relation

Prove that $\bigcup_{x\in (1,\infty)}[\frac{1}{x},x)=(0, \infty)$

Use Induction to prove recurrence

What is the chromatic polynomial for $K_{2,3}$? [duplicate]

Does $K_{12,12}$ decompose into $K_{4,4}-I$ subgraphs?

Proof of a Combinatorial Abel Identity

how many permutations of {1,2,...,9}

What is the expression for putting $n$ indistinguishable balls into $k$ indistinguishable cells?

New posts in discrete-mathematics

Combinatorial justification on $n^{2} = (n-1)^{2} + 2(n-1) +1$

Maximum value of $x$ such that $3^x-2^n$ is a prime.

How to calculate summation of $\frac{n^2 + n + 1 }{n^2 + n}$ over $1$ to $25$?

How many $5$-digit numbers are there, so that $0,1$ and $2$ are NOT included, $3,4$ and $5$ have to be included

Proving two integers are relatively prime using Bezout's Theorem.

How many rectangles or triangles.

How many solutions does the equation $\sum_{i=1}^{k}{x_i}=c$ have, given that the $x_i\in\mathbb{Z}$ and $0\leq x_i\leq d$?

A route that passes through all streets of the city

Combinatorial proof of $\binom{nk}{2}=k\binom{n}{2}+n^2\binom{k}{2}$

Properties of a Powerset Graph

Proving Equivalence Relations On A Set

How to Find Characteristic Equations?

Closed form of the following Recurrence Relation

Prove that $\bigcup_{x\in (1,\infty)}[\frac{1}{x},x)=(0, \infty)$

Use Induction to prove recurrence

What is the chromatic polynomial for $K_{2,3}$? [duplicate]

Does $K_{12,12}$ decompose into $K_{4,4}-I$ subgraphs?

Proof of a Combinatorial Abel Identity

how many permutations of {1,2,...,9}

What is the expression for putting $n$ indistinguishable balls into $k$ indistinguishable cells?