Which of the Following Statements About Carbon Migrations Is Correct

Which of the following statements about carbon migrations is correct?

A) Carbon migrations never occur by a sigmatropic rearrangement.
B) Under thermal conditions,a [1,3] carbon migration that occurs suprafacially must also occur with inversion of configuration at the migrating carbon.
C) Under thermal conditions,a [1,5] carbon migration that occurs suprafacially must also occur with inversion of configuration at the migrating carbon.
D) Under thermal conditions,a carbon migration that occurs suprafacially must occur with inversion no matter the system's symmetry.
E) B,C,and D