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Digits 1-9 (Posted on 2002-06-05) Difficulty: 3 of 5
Can you arrange the digits 1-9 in any order so that:
  • The number formed by the first two digits is divisible by 2.
  • The number formed by the first three digits is divisible by 3.
  • The number formed by the first four digits is divisible by 4
  • and so on up to nine digits...
  • See The Solution Submitted by Rhonda Wendel    
    Rating: 3.1429 (7 votes)

    Comments: ( Back to comment list | You must be logged in to post comments.)
    Some Thoughts re: First thoughts | Comment 2 of 13 |
    (In reply to First thoughts by TomM)

    Yeah, that about all I could eliminate 'logically'. But, as you say:
    a) Position 5 must be "5"
    b) Positions 4 and 8 must be "2" and "6" in some order
    c) Positions 2 and 6 must then be "4" and "8" in some order
    d) Positions 1, 3, 7 and 9 must be "1", "3", "7" and "9" in some order

    This only leaves us with 1 * 2 * 2 * 12 combinations, or 48 possibilities.

    It's very simple to then run through those and find the solution is "381654729"
      Posted by Nick Reed on 2002-06-06 05:43:05

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