Take the digits 2, 0, 0 and 3. Make equations equating to all the integers from 1 to 150 using these digits according to the following rules:-

a) The above digits are the only digits to be used and no other digits should appear anywhere in the equation (except on the side where the answer will be).

b) Use of any mathematical symbols are allowed.

c) The digits 2, 0, 0 and 3 should appear in the given order in the equation. e.g - 0 + 2 + 3 + 0 = 5 is not acceptable.

d) When using the mathematical symbols try using the most simplest forms as much as possible.

(In reply to re: ehm.. by Brian Smith)

Giving me credit on your page is not necessary, Brian, but I appreciate it. I am still iffy about the use of floor and ceil, I was under the impression that they are functions used by various computer languages rather than actual mathematical symbols like the radical sign (√). Seeing, however, that only three other people in fifty-some comments have shown qualms about the floor and ceil functions, I'll accept your solution (as if it were up to me anyway). It's obvious that coming up with the answers that you did took a lot of doing, and I didn't mean to sound like I was denigrating that effort.

Any time a decimal is used can simply be replaced with "+0" instead of ".0" at the expense of another operation (with the exception of one use of .2). I don't think it counts as an operation, but the decimal point is certainly a mathematical symbol. And subfactorial, while much less common that the factorial, I don't think is any less valid.
We all have our quirks, I guess. Too bad Raveen disappeared before clarifying the problem.
I, though, am going to keep working on a so-called "clean" solution without rounding. If anyone thinks of anything to add, that's why I put it on a public notepad.

Posted by DJ on 2003-04-30 19:00:14