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Pandigital + (Posted on 2017-05-03) Difficulty: 3 of 5
Let p(n) be the probability that a random n-digit integer has all 10 digits occurring each at least once.
Let us allow leading zeroes; e.g. 0000018274 will be included in the set of 10-digit numbers).

So p(9) is 0 , p(10) = 10!/1010 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?

No Solution Yet Submitted by Ady TZIDON    
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  Subject Author Date
Hints/Tipsre: Matrix solution - Diagonalization and a closed form functionBrian Smith2017-05-04 12:23:54
SolutionMatrix solutionBrian Smith2017-05-04 09:57:29
SolutionAnalytic solution with Computer calculationsCharlie2017-05-03 14:19:51
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