Help with test question

[referee99]

From CBOA Study Guide:
109)) The top assistant coach is assessed an unsporting technical foul in the first half. In the second half, the head coach is ejected and the top assistant coach replaces the head coach. How many more subsequent technical fouls are required before that newly activated head coach would be ejected?
a) A single direct technical foul.
b) Two direct technical fouls.
c) A single indirect (bench) technical foul.
d) Three indirect (bench) technical fouls.

I have an individual on the bench who, in (a) receives a 2nd direct technical, and would then be disqualified and ejected. But I also have a Head Coach, who in (d) has 3 indirects and would be disqualified and ejected.

Am I missing something, or does this question have 2 correct answers?