Financial aid to college students: Three major sources of financial aid are government grants, private scholarships, and the college themselves. Susan Brilling, Financial Aid Director of a small private southern college surveyed the record of 100 sophomores and found the following: 49 receive government grants 55 receive private scholarships 43 receive aid from the college 23 receive government grants and private scholarships 18 receive government grants and aid from the college 28 receive private scholarships and aid from the college 8 receive help from all three sources How many of the students in the survey: b1. Have government grants only? b2. Have private scholarships but not government grants? b3. Receive financial aid from only one of these sources? b4. Receive aid from exactly two of these sources? b5. Receive no financial aid from any of these sources? b6. Receive no financial aid from the college or from the government?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 84E
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Surveys and Cardinal Numbers
Q.3)
Financial aid to college students: Three major sources of financial
aid are government grants, private scholarships, and the college
themselves. Susan Brilling, Financial Aid Director of a small
private southern college surveyed the record of 100 sophomores
and found the following:
49 receive government grants
55 receive private scholarships
43 receive aid from the college
23 receive government grants and private scholarships
18 receive government grants and aid from the college
28 receive private scholarships and aid from the college
8 receive help from all three sources
How many of the students in the survey:
b1. Have government grants only?
b2. Have private scholarships but not government grants?
b3. Receive financial aid from only one of these sources?
b4. Receive aid from exactly two of these sources?
b5. Receive no financial aid from any of these sources?
bs. Receive no financial aid from the college or from the
government?
Transcribed Image Text:Surveys and Cardinal Numbers Q.3) Financial aid to college students: Three major sources of financial aid are government grants, private scholarships, and the college themselves. Susan Brilling, Financial Aid Director of a small private southern college surveyed the record of 100 sophomores and found the following: 49 receive government grants 55 receive private scholarships 43 receive aid from the college 23 receive government grants and private scholarships 18 receive government grants and aid from the college 28 receive private scholarships and aid from the college 8 receive help from all three sources How many of the students in the survey: b1. Have government grants only? b2. Have private scholarships but not government grants? b3. Receive financial aid from only one of these sources? b4. Receive aid from exactly two of these sources? b5. Receive no financial aid from any of these sources? bs. Receive no financial aid from the college or from the government?
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