(Solved): 9. Suppose a password consists of 5 lowercase letters followed by 2 digits (any number from 0 to 9 ...

9. Suppose a password consists of 5 lowercase letters followed by 2 digits (any number from 0 to 9 ). For instance, sxtsg56 is a valid password. (a) How many possible passwords are there? Write the number in terms of exponents and multiplication. I.e. can write 256 as \( 2^{8} \). (b) Now suppose that the 2 digits can precede or follow the five letters. Ex: sxtsg56 and 56 sxtsg are both valid. How many possible passwords are there?