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 computer solution -- minimum use of factorial by Charlie)

ooh ooh ooh!!!

58 is expressable without the factorial (as are likely others above your limit of 36), but that doesn't invalidate your solution or course.

(3+4)*5-2/1=58

Posted by Cory Taylor on 2005-11-01 18:14:02