We are inviting a total of about 160 to the reception. But we are having our ceremony at a very small chapel that only holds up to 100. I don't know what the right way is to go about invites.

Do we pick and choose who to invite to the ceremony or just invite everyone and hope only 100 show up? I've thought about maybe saying something along the lines of.... We are having a small, intimate ceremony at "chapel" but would love if you'd join us for the reception to follow.
Ahh its driving me crazy!! any ideas?!
Thanks!!