perplexus.info :: Probability : Probable Near Pandigital Poser II

Probable Near Pandigital Poser II (Posted on 2010-06-19)

For a 5N-digit base-2N positive integer X, determine the probability (in terms of N) that X contains each of the digits from 0 to 2N-1 at least twice but at most thrice.

Note: N is a positive integer ≥ 2, and X does not contain any leading zero.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required probability is C(2N,N) * ((5N!)/12^N) / ((5N)^(2N)).
For an explanation, refer to the solution submitted by Steve Herman in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Cleaned up solution	Steve Herman	2010-06-20 21:23:05
Solution? (spoiler)	Steve Herman	2010-06-20 01:13:14

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