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SOLVE MATH PROBLEM PLEASE HELP?
Can anyone Help me solve this?Colleges and Universities In a survey of four-year colleges and universities, it was found that
356 offered a liberal arts degree.
293 offered a computer engineering degree.
285 offered a nursing degree.
193 offered a liberal arts degree and a computer engineering degree.
200 offered a liberal arts degree and a nursing degree.
139 offered a computer engineering degree and a nursing degree.
68 offered a liberal arts degree, a computer engineering degree, and a nursing degree.
26 offered none of these degrees.
a) How many four-year colleges and universities were surveyed?
Of the four-year colleges and universities surveyed, how many offered
b) a liberal arts degree and a nursing degree, but not a computer engineering degree?
c) a computer engineering degree, but neither a liberal arts degree nor a nursing degree?
d) exactly two of these degrees?
e) at least one of these degrees?
1 Answer
- Jeff AaronLv 79 years ago
A Venn Diagram could be useful.
Number with liberal arts and nursing but not computer engineering: 200 - 68 = 132
Number with liberal arts and computer engineering but not nursing: 193 - 68 = 125
Number with nursing and computer engineering but not liberal arts: 139 - 68 = 71
Number with only liberal arts: 356 - 68 - 132 - 125 = 31
Number with only computer engineering: 293 - 68 - 125 - 71 = 29
Number with only nursing: 285 - 68 - 132 - 71 = 14
a. 26 + 31 + 29 + 14 + 132 + 125 + 71 + 68 = 496
b. 132
c. 29
d. 132 + 125 + 71 = 328
e. 31 + 29 + 14 + 132 + 125 + 71 + 68 = 470
