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

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Three sources of finan-cial aid are government grants, private scholarships,and the colleges themselves. Susan, a financial aiddirector of a private college, surveyed the records of100 sophomores and found the following:49 receive government grants55 receive private scholarships43 receive aid from the college23 receive government grants and private scholarships18 receive government grants and aid from the college28 receive private scholarships and aid from the college8 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?

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