Mary, who wrote an online computer game, plans to assign every user a
unique password.
a) Currently, she wants to have passwords that are \(8\) symbols long and are all made from
lowercase letters \(a,b,c\). How many
different passwords can she generate?
b) Her friend suggested a modification: use 8-symbol words made from
letters \(a,b,c\), with exactly one
capital letter, and also include one digit (\(0-9\)). How many times more passwords can
she generate now?