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Factorials everywhere (Posted on 2004-08-16) Difficulty: 3 of 5
The equation a!b!=c! is trivial if we allow a or b to be 0 or 1.

However, adding that 1<a<b<c, also allows trivial solutions: which? What condition should be added to disallow such solutions?

Finally, adding that condition, can you find any solution to the problem?

See The Solution Submitted by Federico Kereki    
Rating: 2.6000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts Partial Answer Comment 6 of 6 |

Imposing the restriction c-1> b> a> 1; with a little trial and error we would obtain:

(a, b, c) = (6, 7, 10)


  Posted by K Sengupta on 2007-08-13 03:46:11
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