## Algebra 1

A)Find $_{4}$P$_{4}$: $_{4}$P$_{4}$=$\frac{4!}{(4-4)!}$ -simplify- $_{4}$P$_{4}$=$\frac{4!}{0!}$ -write using factorial- $_{4}$P$_{4}$=$\frac{4*3*2*1}{1}$ -simplify- $_{4}$P$_{4}$=24 There are 24 possible permutations. B)No, especially if the name is short as it is more prone to hackers since there are only a number of possible passwords using the name