Three sources of finan- cial aid are government grants, private scholarships, and the colleges themselves. Susan, a financial

Question

Three sources of finan-
cial aid are government grants, private scholarships,
and the colleges themselves. Susan, a financial aid
director of a private college, surveyed the records 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:
(a) have government grants only?
(b) have scholarships but not government grants?
(c) receive financial aid from only one of these sources?
(d) receive aid from exactly two of these sources?
(e) receive no financial aid from any of these sources?
(f) receive no aid from the college or the government?

Kunduz · Accepted Answer

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