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Seven - with and without (Posted on 2013-08-09) Difficulty: 2 of 5
Let us divide a set of all n-digit numbers into two subsets:
N7- whose members contain at least one 7 and Nw - whose members are 7-free ,e.g. for n=2 there are 18 members in N7: 17,27,37,... 70, 71,72, 79, and there are 72 members in Nw.
Let us denote those quantities by q7 and qw: q7(2)=18 and qw(2)=72.

Evaluate q7(n) and qw(n) for the following values of n:

n=5
n=42
n=100

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.6667 (3 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsObservationMath Man2013-09-22 22:46:52
Some Thoughtsre: solutionAdy TZIDON2013-08-09 17:44:56
EqualitySteve Herman2013-08-09 14:49:23
SolutionsolutionCharlie2013-08-09 12:53:08
Some ThoughtsJust the Formula (spoiler)Steve Herman2013-08-09 11:37:52
solutionDaniel2013-08-09 11:35:30
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