og55，关于og的解释

og55

A recent study has found that within the past few years, many doctors had elected early retirement rather than face the threats of lawsuits and the rising costs of malpractice insurance.
(A) had elected early retirement rather than face
(B) had elected early retirement instead of facing
(C) have elected retiring early instead of facing
(D) have elected to retire early rather than facing
(E) have elected to retire early rather than face

答案：E

请问，og解释中这句话什么理解：C is faulty because have elected, which is correct in tense, cannot idiomatically be followed by a participle such as retiring.
是因为没有elect doing sth.吗？还是什么别的意思？