Find an expression for each integer zero to 100 which satisfies the following conditions:
- Each of the numbers 1, 2, 3, 4, and 5 appears exactly once in each expression and no other numbers. There is no concatenation or decimal points.
- Each of the four elementary operations (+ - * /) appears exactly once in each expression.
- The only other items which may be in an expression are factorial (!) and parentheses. Factorials and parentheses may occur as many times as needed or not be used at all.
Example: 0=5+3-4*2/1 or 0=(3!+4)/5-2*1
(In reply to re(3): computer solution -- minimum use of factorial
lol, wow, stumped on such an easy one. My rough work in fact is
still sitting here on my desk in front of me, and it reads 3+4, but I
clearly remember this resulting in 12 in my head. Ichecked a few
times over to ensure that each number and each symbol had been used
once, but never bothered to check my actual arithmetic apparently...