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If \(A=\frac{1}{5 ! 6 ! 7 !}\left[\begin{array}{lll}5 ! & 6 ! & 7 ! \\ 6 ! & 7 ! & 8 ! \\ 7 ! & 8 ! …

Q1

If \(A=\frac{1}{5 ! 6 ! 7 !}\left[\begin{array}{lll}5 ! & 6 ! & 7 ! \\ 6 ! & 7 ! & 8 ! \\ 7 ! & 8 ! & 9 !\end{array}\right]\) then \(|adj(\operatorname{adj}(2 A))|\) is equal to :

[JEE Main 2023, 10 Apr (Shift 2)]

a

\(2^{8}\)

b

\(2^{12}\)

c

\(2^{20}\)

d

\(2^{16}\)

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