On 2007-11-13 13:22:13 -0500, Robert Israel <israel@math.MyUniversitysInitials.ca> said:
> "Benjamin A. Bartsch" <firstname.lastname@example.org> writes: > >> >> dangerousgam...@gmail.com schrieb: >>> So, using only +, -, x, /, and parentheses, and ONLY these numbers: >>> >>> 1, 7, 7, 7, 7 >>> >>> how can you make 100? Is there more than one solution? >> >> --> (1/7+7)*(7+7) >> >> Benjamin > > Yes, and that's the only solution (up to commutativity).
I'm very curious how you concluded this. Was it by a program that tests through all possible combinations?
I tried to write a program too, but I stop when I couldn't quickly find a way to list out all possible trees with 7 leaves.