Problem: 3 X 3 table and combinatorics

By Prince Prasad

3×3 Table

Here is a problem which requires a  solution:

I have a 3 x 3 table with 9 elements in each of the  which looks a lot like
the above.  There are nine elements in the table and in each their respective squares from ‘a’ to ‘i’.

How many possible ways elements within the table can be arranged to form different arrangements.

Note: The general principle for the permutation of elements placed in a straight line formation as the following:  a, b, c, d, e, f, g, would yield 7! =5040 perms.
Hence, is it legal to conclude that this principle can be applied to given problem? State your reason why so?

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