[Math] the probability of choosing 13 cards from a deck of cards and having them all be hearts

Question

What is the probability of choosing 13 cards from a deck of cards and having them all be hearts?

Im guessing I would have to do $\frac{13}{52} \times \frac{12}{51}\times…\times \frac{1}{40}$

I would like to know if there is a quicker way to do this.

Answer 1

$$ \frac{\binom{13}{13}}{\binom{52}{13}} = \frac{13!\times 39!}{52!} $$