#### Answer

$\frac{1}{5040}$.

#### Work Step by Step

Because the order is important, we can use the permutation rule to determine the number of possibilities: $\frac{7!}{(7-7)!}=5040$.
We also know that $probability=\frac{number \ of \ good \ outcomes}{number\ of\ all\ outcomes}$, therefore $P=\frac{1}{5040}$.