The 12 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 5 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?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.6: Permutations And Combinations
Problem 5SC: In how many ways can 5 people stand in a line if one person demands to be first?
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The 12 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 5 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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