MHB Is This Permutation Formula an Integer Value?

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The discussion centers on proving whether the expression (n!)! / (n!)^(n-1)! is an integer for natural numbers n. Participants note that the question lacks clarity regarding what specifically needs to be proven. It is mentioned that this inquiry is not new and resembles a previously posed question with different values. There is a consensus that the goal is to establish the integer nature of the expression. The conversation emphasizes the need for a more detailed formulation of the problem.
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Prove by permutations or otherwise $\displaystyle \frac{\left(n!\right)!}{\left(n!\right)^{(n-1)!}}$, where $n\in \mathbb{N}$
 
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Your question is not complete. What do you need to prove?
 
This is not a new question. it is same as previous question with diffeent value

I think you mean it to be integer

this is same as previous solution with m= (n-1)! http://mathhelpboards.com/challenge-questions-puzzles-28/integer-quantity-12418.html
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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