European customs officers are not easy to corrupt, so you have hardly any chances to get them __ something illegal across the border.
A. let you to take
B. let you take
C. to let you to take
D. to let you take

What is the right answer to the task? I think it should be C. or D. , since we have to use to +infinitive after "get". For me D. sounds a bit more natural. So is it D. ? If so, which rule are we using to determine whether the right answer is C. or D.? Is it the rule that after let we use bare infinitive (infinitive without to) ?