30. Financial Aid to College Students Three sources of financial 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. Answer the questions and write the sets using symbols as well. 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?