The correct answer is $\boxed{\text{C) 175 mA}}$.
The current gain of a transistor is the ratio of the collector current to the base current. In this case, the current gain is 175, so the collector current is 175 times the base current. The base current is
0.1 mA, so the collector current is 175 mA.Option A is incorrect because it is 1750 times the base current. Option B is incorrect because it is 17.5 times the base current. Option D is incorrect because it is 1.75 times the base current. Option E is incorrect because it is not one of the possible answers.