A restaurant critic has 10 new restaurants to try. If he tries half of them this week, what is the probability that he will choose The Fish Shack, Carly’s Place, Chez Henri, Casa de Jorge, and Grillarious?

I'm assuming this would go like 1/10 x 1/9 x 1/8 x 1/7 x 1/6 x1/5 but the probability seems astronomically low and I'm afraid to put this down as the answer