Can facebook pages see how many of your friends like the page?

[Cassidy]

This one facebook page was having this giveaway where you have to have a certain number of your friends like the page, can they really see how many of your friends like it?

[pri✍]

I'll answer your question in a broader view.

Even you (name ABC) can find out who are among your friends who like a certain Page, say it's Decor.
How?
Type on the top search bar in FB:
⇨My friends who like Decor⇦
and click the matching one from the dropdown options, either the sentence and the Page name.

So, at least by the same way, Page can do that too*, or maybe Page have special tools for that.

*Just rephrase that search to, eg
⇨Friends of ABC who like Decor⇦