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9! (Posted on 2005-02-28) Difficulty: 2 of 5

Find nine single digit numbers (other than 1, 2, 3, ..., and 9) with a sum of 45 and a product of 9! (362,880).

For instance, 2, 2, 3, 4, 5, 6, 7, 8, 8 add up to 45, but their product is 645,120.

Try finding the answer without the use of a program.

See The Solution Submitted by Erik O.    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Hint - Don't Peek | Comment 1 of 12
N*(N+1)/2.

Oops! Didn't notice the "(other than 1, 2, 3, ...,, and 9)" proviso.

Good luck without a program!

Edited on February 28, 2005, 5:45 pm
  Posted by Richard on 2005-02-28 15:59:36

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