In combinatorial mathematics, the Catalan numbers form a sequence of natural numbers that occur in various counting problems, often involving recursively defined objects. They are named after the Belgian mathematician…
Given N dots that are evenly spaced on the circumference of a circle, how many combinations of three dots can we pick from those N dots that do not form…
In mathematics, a combination is a selection of items from a collection, such that the order of selection does not matter (unlike permutations). To choose m items from a total…
In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n: Following table shows the values…