# Using numbers form a number

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

Use every digit exactly once.

Note:

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

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

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

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

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

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