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Curious Consecutive Cyphers (Posted on 2008-11-25) Difficulty: 2 of 5
Each of the last T digits in the decimal representation of the product of 1!*2!*3!.....99!*100! is zero, but the (T+1)th digit from the right is nonzero.

Determine the remainder when T is divided by 1000.

Note: Try to derive a non computer-assisted method, although computer program/spreadsheet solutions are welcome.

See The Solution Submitted by K Sengupta    
Rating: 2.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionMy KISS solutionAdy TZIDON2008-11-27 18:19:08
re: SolutionCharlie2008-11-25 17:30:13
SolutionsolutionCharlie2008-11-25 16:44:29
SolutionSolutionDej Mar2008-11-25 15:32:56
SolutionJust counting ...Steve Herman2008-11-25 14:47:17
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