Assume that the playbook contains 10 passing plays and 12 running plays. The coach randomly selects 8 plays from the playbook.

What is the probability that the coach selects at least 3 passing plays and at least 2 running plays?

For this problem, assume that you are to pick 3 cars from the motor pool, which contains 6 subcompact cars, 6 compact cars, and 5 midsize cars.

How many ways can you pick the cars so not all are the same size?