Answer
$120,\frac{1}{120}$, "Amity"
Work Step by Step
By using the factorian rule we can get the number of possibilities: $5!=5\times4\times3\times2\times1=120$. We also know that $probability=\frac{number \ of \ good \ outcomes}{number\ of\ all\ outcomes}$, therefore $P=\frac{1}{120}$. The corrext word is "Amity".