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Recently, I have started learning graph theory, here are a list of terminologies that are commonly used in graph theory,

A graph $G=(V,E)$ is a collection $V$ of vertices or …

I recently was solving this problem on Brilliant: https://brilliant.org/weekly-problems/2018-02-26/advanced/ and, according to my reasoning, came to the answer of 13/16 (>0.75).

So, the strategy each one in the group of …

In a partition of the subsets of {1,2,…,n} into symmetric chains, how many chains have only 1 subset in them? How many chains have only 2 subsets in them? How …

Find the number of permutations with 2 inversions in $\{1,2,\ldots,10\}$. How about permutations with 3 inversions?

Let describe a process $A$ as follows: Suppose you have a bag, and it have a ball which either have $\red{red}$ or $\blue{blue}$ color (you don't know what color it …

Let describe a process $A$ as follows:

Suppose you have a bag, and it have a ball which either have $\red{red}$ or $\blue{blue}$ color (you don't know what color it …

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