Is This Algebra or Number Theory? (Part 2)

Find the largest possible value of positive integer \(n\), such that \(n!\) can be expressed as the product of \( (n-4) \) consecutive positive integers.

\(\)
Notation: \(!\) is the factorial notation. For example, \(8! = 1\times2\times3\times\cdots\times8 \).


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