The 17 colleges of interest to a high school senior include 8 that are expensive (tuition more than $20,000 per year), 8 that are far from home (more than 200 miles away), and 3 that are both expensive and far from home.

a. If the student decides to select a college that is not expensive and within 200 miles of home, how many selections are possible?

b. If the student decides to attend a college that is not expensive and within 200 miles from home during his first two years of college, and then will transfer to a college that is not expensive but is far from home, how many selections of two colleges are possible?