Draw a 3-by-3 grid, like a tiny crossword puzzle. Place a single digit
in each of the nine squares thus formed, so as to create three
horizontal 3-digit numbers and three vertical 3-digit numbers. No
"leading zeros’ allowed. Of the six 3-digit numbers formed thereby:
-- one should be a perfect square;
-- one should be a perfect cube;
-- one should be a Fibonacci number;
-- the other three should all be prime numbers.
The same (3-digit) number for instance, could be both a perfect square
and a Fibonacci number. In such a case, it should count as only one or
the other.
Answer: There are 1488 ways in which this can be done. Here are just a couple of them:
121 377
125 787
377 343