Starting a new Higher Education course, majority of classmates being women

Opinion:

I've started a new Higher Education course (teaching postgrad). Today I had my first day, and as expected, the majority of my classmates are female. Good. Great, even.

After having a quick scout of the potential competition in the glass there really isn't anything to be intimidated by. Not on the surface anyway, but the aura of a person says enough.

Now, I have two options as I see it, but feel free to point out some more if wrong about this. I could either a) Approach a couple of girls, individually, and build personal one to one relationships with them this way, or b) Sit back, relax, and let the girls who are possibly interested come to me. Let them fight it out with each other.

If going with option a), I feel I've had a couple of IOI's already: the average looking girl with the big tits, the bitch with a boyfriend who could be willing to test out a new flame, the mysterious yet hot recluse who'll be relatively quiet but pack a bite, the well traveled and cultured 'free spirit', and the older chick looking to play about with a newfound young toy.

But I feel if I follow option a), they'll catch onto what I'm up to fast.

I was in the same position as this five years ago, but I had less foresight and the desire to control a situation like this for my own advantage.

Outcome - to fuck as many of them as possible, quickly, and in a short enough time period.

Not expecting miracles, but I imagine this kind of situation occurs all the time.

Advice.