The 14 colleges of interest to a high school senior include 6 that are expensive (tuition more…

The 14 colleges of interest to a high school senior include 6 that are expensive (tuition more than $30,000 per year), 7 that are far from home (more than 200 miles away), and 2 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?

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