Adrian likes all the numbers, but some are his favourites. He created
a flowchart to help people determine whether or not a given five-digit
positive integer is one of his favourites.
Start with a five-digit positive integer and proceed through the following steps:
Does the integer contain any even digits or repeated digits?
If YES, then the integer is not a
favourite.
If NO, then go to 2.
Is the thousands digit larger than both the hundreds digit and
the ten thousands digit?
If NO, then the integer is not a
favourite.
If YES, then go to 3.
Is the tens digit larger than both the hundreds digit and the
units digit?
If NO, then the integer is not a
favourite.
If YES, then the integer is a favourite.
How many favourite five-digit positive integers does Adrian have?
