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

Use every digit exactly once.

Note:

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

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  • $\begingroup$ is raise to ^ allowed ? $\endgroup$ Commented May 11, 2015 at 12:13
  • $\begingroup$ Also please explain "Basic mathematical operations".... $\endgroup$ Commented May 11, 2015 at 12:18

2 Answers 2

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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.

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  • $\begingroup$ I know it's allowed in the question but I feel ! is just syntactic sugar for using numbers that aren't listed. $\endgroup$
    – Holloway
    Commented May 11, 2015 at 13:03
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Shortest answer I can find using only basic $(+,-,\times,\div)$ operations is

$$7\times8\times9\times(8\times9\times9+9-7)$$

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  • $\begingroup$ I have edited the question. $\endgroup$
    – RE60K
    Commented May 11, 2015 at 13:07

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