Combinatorial Explosion - Example in Arithmetic

Example in Arithmetic

Suppose we take the factorial for n:

Then 1! = 1, 2! = 2, 3! = 6, and 4! = 24. However, we quickly get to extremely large numbers, even for relatively small n. For example, 100! = 9.33262154 × 10157, a number so large that it cannot be displayed on most calculators.

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