You can express the definition of n! recursively like this:Īs with the example shown above, there are base cases that are solvable without recursion. In other words, n! is the product of all integers from 1 to n, inclusive.įactorial so lends itself to recursive definition that programming texts nearly always include it as one of the first examples. The factorial of a positive integer n, denoted as n!, is defined as follows: The next example involves the mathematical concept of factorial. This is a case where the non-recursive solution is at least as clear and intuitive as the recursive one, and probably more so. You’re now ready to see how this works with some examples.
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