Many calculators or computers cannot directly calculate 70! or higher. When n is large, n\ can be approximated by n\ = 10K where K = (n + 0.5) log n + 0.39908993 - 0.43429448«.
a. Evaluate 50! using the factorial key on a calculator and also by using the approximation given here.
b. Canada Post wanted to find the shortest route for delivering to 300 locations in Winnipeg. There are 300! different possible routes. If 300! is evaluated, how many digits are used in the result?