The factorial function, denoted as $$n!$$, is a mathematical function that multiplies a given positive integer by all of its positive integers less than it, leading to the product of all integers from 1 to n. This function plays a vital role in combinatorics, probability, and various algorithms. Factorial values grow extremely fast with increasing n, and understanding their recursive properties is essential for defining sequences and performing calculations in different mathematical contexts.
congrats on reading the definition of factorial function. now let's actually learn it.