How do I stop the public from 'liking' my facebook photos?

[Sliaayatt]

I have my entire facebook profile set to private (friends only). I uploaded some pictures today and the setting is also set to private (friends only). Then someone who is not on my friends list was able to 'like' the post that I added new pictures and the post itself was set to friends only (this person is not on my friends list). I would like to know how to prevent that from happening. Any advice would be appreciated. Thank you!!
Also, facebook did not notify me that this public person 'liked' my photos, yet, when one of my friends liked the pictures, facebook did notify me?

[M]

If someone was tagged in your photo then their friend can still like it even if your photos are set to "friends only".

Usually if a friend of a friend likes your photo, it will say "[Name] (friend of _____) liked your photo". It might be different if a random stranger likes it or it may just be a glitch.