Factorials come up constantly in counting and probability problems such as the chances of being dealt a certain type of hand in a card game like poker. For that reason, they have their own notation:the nth factorial is denoted by n!=n×(n-1)×…×2×1. Thetriangularnumbers grow reasonably quickly, at about halfthe rate of the squares, but the factorials grow much faster and soon pass into the millions and millions:for example 10!=3,628,800. The exclamation mark alerts us to this rather alarming rate of growth.
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