Compute the factorial of any non-negative integer (n!) to find the total number of permutations.
The factorial of is:
0
The factorial result represents the product of all positive integers from 1 up to the input value n. For example, 4! is calculated as 4 × 3 × 2 × 1 = 24.
Factorials represent the number of ways to arrange a set of objects in a specific order.
Formula: n! = n × (n - 1) × ... × 1
n! = n × (n - 1) × ... × 1
For an input integer of 4, we multiply all descending integers down to 1.
What is 0!? By mathematical convention, 0! is equal to 1. This definition ensures that combinatorial formulas remain consistent for zero objects.
Why does it stop at 170? Factorials grow extremely fast. Numbers larger than 170! exceed the storage capacity of standard 64-bit floating-point variables, leading to computational overflow.
Where are factorials used? Factorials are essential in probability and statistics, particularly when calculating permutations, combinations, and sequences.
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