No, not a problem. The interviewer will ask you about the reasons of visiting, and will correct the visa type on the spot if you chose the wrong type. One time, I was applying for D visa (crew visa), and I asked the interviewer if it's ok to include another visa as well (B1/B2), he asked me why and I told him I would like to visit if I have some days off, he said ok and I got it.
Regarding B1/B2, most likely you will get the two together, it's rare to issue just one of the two B visasit's rare to issue just one of the two B visas.
