A collector of toy vehicles has 12 hot rod cars, 10 pickup trucks, 9 classic cars, and 1 big rig truck. All toys are distinguishable. How many ways can the collector choose a subset of 10 toys and get at least 7 classic cars?

Your club would like to form a committee that has 2 sophomores, 3 juniors, and 4 seniors. If there are 7 sophomores, 8 juniors, and 6 seniors in the club, how many different ways can the committee be formed? Assume that the order that you are picked in does not matter.

For a Halloween party, each guest can choose from the 6 different kinds of candy to have in a prize bag. If any number of candy types can be chosen, how many candy type combinations are possible?

A teacher will randomly award three students with extra credit. How many possible ways can the teacher pick these three students from a class of 20 students?

A bag contains three red marbles, six green ones, one lavender one, two yellows, and three orange marbles. How many sets of three marbles include all the yellow ones? sets