Hello, I'm a first time user here. Hopefully someone can help me out...

At a picnic, there was a bowl of chocolate candy that had 10 pieces each of Milky Way, Almond Joy, Butterfinger, Nestle Crunch, Snickers, and Kit Kat. Jen grabbed six pieces at random from this bowl of 60 chocolate candies.

a. What is the probability that she got one of each variety?

b. What is the probability that Jen grabs exactly five varieties?

I understand question a. I realize that there are 50,063,860 possible outccomes in which this can occur and that there is 1,000,000 ways for Jen to do this. (1,000,000/50,063,860) = probability.

Having a hard time setting up question b. and ultimately solving it.