Using 7,8,9 and basic mathematical operations form the number 327600.

Use every digit exactly once.


Allowed Operations: $+,-,/,*, {}^{\displaystyle\large\hat{}} ,!,\sqrt{}$

  • $\begingroup$ is raise to ^ allowed ? $\endgroup$ – user2408578 May 11 '15 at 12:13
  • $\begingroup$ Also please explain "Basic mathematical operations".... $\endgroup$ – user2408578 May 11 '15 at 12:18

The answer is simple.

$$ 9!-8!+7! $$

Although I'm not sure that you can really call that operation a "basic mathematical operation". It's kind of in the category of intermediate operations.

  • $\begingroup$ I know it's allowed in the question but I feel ! is just syntactic sugar for using numbers that aren't listed. $\endgroup$ – Holloway May 11 '15 at 13:03

Shortest answer I can find using only basic $(+,-,\times,\div)$ operations is


  • $\begingroup$ I have edited the question. $\endgroup$ – RE60K May 11 '15 at 13:07

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