Write an expression using exactly one 2, exactly one 3, and exactly one 4 to make 30.

For each problem, you must use all three of these:

  • Division
  • Factorials (just for regular factorial use, no special factorials)
  • Parentheses (They would be required to show the factorial of a factorial, as in (X!)!, for instance.)

Other Rules For Clarification:

  • No other digits may be used.
  • No other operations may be used.
  • No concatenation of digits is permitted.
  • Your solution must require the use of parentheses to be valid. If all of the parentheses can be removed, and the expression still equals 30, then that solution is not valid.

I am intending one solution for this problem.

  • $\begingroup$ Why $x!!$ won't be valid? $\endgroup$ – EKons Jun 7 '16 at 16:56
  • $\begingroup$ @ Epik K. - I don't want that to be confused with the double factorial. And my rules are just using the regular factorials when it comes to the "!" symbol. $\endgroup$ – Olive Stemforn Jun 22 '16 at 23:31
  • $\begingroup$ I prefer to be really mentioned, not with @, but with @ΈρικΚωνσταντόπουλος. $\endgroup$ – EKons Jun 23 '16 at 6:35
  • $\begingroup$ @Έρικ Κωνσταντόπουλος, I copied and pasted your name just now. $\endgroup$ – Olive Stemforn Jun 24 '16 at 14:34
  • $\begingroup$ You also need to remove spaces, then you're fine. I won't change my name for that. Copy-Paste then space removal. @Έρικ is a mention, as @Έρι is, but I prefer the full name to appear. $\endgroup$ – EKons Jun 24 '16 at 14:41

Here's a solution:

$((3! \div{2})!)! \div{4!} $

Or written a little more clearly:

$((\frac{3!}{2})!)! \div{4!}$


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.