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…
Morse code is a method used in telecommunication to encode text characters as standardized sequences of two different signal durations, called dots and dashes (or dits and dahs). Morse code…
An array is said to be monotonic in nature if it is either continuously increasing or continuously decreasing. Mathematically, An array A is continuously increasing if for all i <=…