I need an explanation on the following problem:
If you are dealt $3$ cards from a shuffled deck of $52$ cards, find the probability that all $3$ cards are picture cards.
I found the total number of possible combinations, $\binom{52}3=22100$. now my books uses $\binom{12}3$ to find the number of ways to select $3$ picture cards, which is $220$.
My question is where does the $12$ come from? Why $12$ and not $16$ (number of picture cards on the deck of $52$)?
Thank you
Jorge