A license plate in a certain state consists of 4 digits, notnecessarily distinct, and 3 letters, also not necessarilydistinct.
(a) How many distinct license plates are possible if norestriction?
(b) How many distinct license plates are possible if it mustbegin and terminate by a digit?
(c) How many distinct license plates are possible if it mustbegin and terminate by a letter?
(d) How many distinct license plates are possible if the threeletters must appear next to each other?
(e) How many distinct palindrome license plates arepossible?
(A palindrome license plate is a license plate that reads the samefrom left to right as right to left)