A 1000 Lb Space Object Orbiting Earth Is Expected To Crash Land Soon 11723514

Percent means 1 part of 100 or 1/100 and is indicated with %. Per mille means 1 part of 1000 or 1/1000 and is indicated with ‰, so it seems that these symbols indicate the mathematical. I would like to find all the expressions that can be created using nothing but arithmetic operators, exactly eight $8$'s, and parentheses.

The way you're getting your bounds isn't a useful way to do things. You've picked the two very smallest terms of the expression to add together; On the other end of the binomial expansion,.