In many places, dates are written as DD/MM/YYYY. For example, the 25th of April 1736 is written as 25/04/1736. Dates such as this one that use 8 consecutive digits (not necessarily in order) will be called illions.
- What is the first illion after 2015?
- Why must there be a 0 in every illion in the years 2000 to 2999?
- Why must every illion in the years 2000 to 2999 have 0 as the first digit of the month?
- How many illions are in the years 2000 to 2999?
(You cannot use the same digit twice in an illion)
I have tried to list all of the possibilities however, I have found this highly time consuming. I was wondering what method I should use to solve these questions without listing all the possibilities.
Thank you :)