Recommendation mix up

My employer emailed his recommendations to Umich and Princeton in the same email. Will either of the colleges use the fact that I’m applying to another college early against me?

I think Michigan is early action and that is not binding. Two binding Early Decisions would be a problem I believe. I am not sure what they will do with two recommendations but I am sure they know that students are applying to several schools and will know that the mix up is from the letter writer, not you.