The 23 colleges of interest to a high school senior include 7 that are expensive
ID: 3115830 • Letter: T
Question
The 23 colleges of interest to a high school senior include 7 that are expensive (tuition more than $20,000 per year), 7 that are far from home (more than 200 miles away), and 6 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?Explanation / Answer
Number of college that are expensive = 7
Number of colleges that are far from home but not expensive = 7
Number of colleges that are both expensive and from home = 6
A.
Number of colleges that are near and not expensive = 23-(7+7+6)
Number of colleges that are near and not expensive = 3
B.
Transfer to college not expensive but far
Number of colleges that are far from home but not expensive = 7
Number of colleges that are near and not expensive = 3
Number of selections= 7*3
Number of selections = 21
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