A palindromic number is a number that reads the same backward and forward. (For example, \(13531\) is palindromic.)
a) How many \(5\)-digit numbers are palindromic?
b) How many \(5\)-digit numbers are palindromic and consist of distinct digits?
c) How many \(5\)-digit numbers consist of \(3\) distinct digits and end with 2?
d) How many \(5\)-digit numbers are odd and consist of \(3\) distinct digits?