Competition for Summer Internships

I've decided to start collecting rejection letters for summer internships. Here's one:

Thanks for your interest in the EEOC. We have already received 180+ law student applications and have interviewed 35 for just 4 - 6 unpaid internships.

Hmm... that's roughly one in five that get called and one in 30 that get offered an internship. Competition for summer internships is indeed fierce. It's all a numbers game, right?