Tricky...

Let S be the set of non-negative integers less than 100. A number is chosen at random. What is the probability that the factorial of the number (n!) Has 1 or 2 digits?

The probability can be expressed as a/b for coprime integers a and b.

Find a+b

Details and assumptions

N!= N(N-1)(N-2).....3x2x1

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