Certain millionaire, approaching his 100th birthday, gave the following instructions to his accountant:

"I would like to donate exactly $100,000 to my 4 grandchildren with the following constraints:
Dana, the youngest, at least 32,000,
Anita, the oldest , at most 20,000 and
the twins Bob and Benny equal amounts between the girls' amounts .
All amounts should be in round thousands. Zero, of course, excluded.

Please show me all possible distributions and I will make the final decision."

How many possible arrangements are there?

(In reply to computer solution by Charlie)

Not sure if you counted them as part of the 360  but the listing of solutions has a few whete Anita seems to have more than 20000?

Posted by Kenny M on 2024-02-12 14:59:57