If A and B are hermitian operators and C is an antihermitian operator, then

1
[[A, B], C] is hermitian and [[A, C], B] is antihermitian
2
[[A, B], C] and [[A, C], B] are both antihermitian
3
[[A, B], C] and [[A, C], B] are both hermitian
4
[[A, B], C] is antihermitian and [[A, C], B] is hermitian

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