There are two parts to this question:

A) When selecting your schedule in school, you can choose from three math courses, four English courses, three science courses, and two history courses. You have room in your schedule for one more class. There are six elective courses to choose from. How many choices of schedules do you now have?

B)

One professor grades homework by randomly choosing 5 out of 10 homework problems to grade. (a) How many different groups of 5 problems can be chosen from the 10 problems? groups (b) Probability extension: Jerry did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded? (Round your answer to four decimal places.) c) Silvia did 7 problems. How many different groups of 5 did she complete? groups What is the probability that one of the groups of 5 she completed comprised the group selected to be graded? (Round your answer to four decimal places.)