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Four generations (Posted on 2020-07-06) Difficulty: 3 of 5
Let S be a set of all six-digit integers.

Let S1 be a subset of S, including all members of S such that each consists
of distinct digits.
Let S2 be a subset of S1, including all members of S1 each with 5 being the difference between its largest digit and its lowest one.
Let S3 be a subset of S2, comprising all elements of S2 divisible by 143.

What is the cardinality of S3 ?

Explain your way of reasoning.

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionBetter late than never. Computer solutionLarry2020-07-07 08:39:15
SolutionBetter late than never. Analytic solutionLarry2020-07-07 08:35:51
in more detailSteven Lord2020-07-07 00:14:54
Hints/TipsWhere is the KISS solutionAdy TZIDON2020-07-06 16:22:46
non-computer solutionxdog2020-07-06 15:53:37
Solutionapologies to stevenCharlie2020-07-06 10:34:16
re: part 1 via computerCharlie2020-07-06 10:22:55
Solutioncomputer solutionCharlie2020-07-06 10:15:25
part 1 via computerSteven Lord2020-07-06 09:29:31
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