Let us allow leading zeroes; e.g. 0000018274 will be included in the set of 10digit numbers).
So p(9) is 0 , p(10) = 10!/10^{10} and p(1000) would be very close to 1.
a. What is the smallest n for which p(n) > 1/2?
b. >3/4?
c. >.95?


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