In a survey of four-year colleges and universities, t was found that 230 offered
ID: 3114533 • Letter: I
Question
In a survey of four-year colleges and universities, t was found that 230 offered a liberal arts degree 104 offered a computer engineering degree. 457 offered a nursing degree 27 offered a liberal arts degree and a computer engineering degree 187 offered a liberal arts degree and a nursing degree 88 offered a computer engineering degree and a nursing degree 20 offered a liberal arts degree, a computer engineering degree, and a nursing degree. 34 offered none of these degrees A. How many four-year colleges and universities were surveyed? There were four-year colleges and universities 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? There arefour-year colleges and universities that offer 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? There are four-year colleges and universites that offer a computer engineering degree, but neither a liberal arts degree nor a nursing degree. D. a liberal arts degree, a computer engineering degree, and a nursing degree? There are four year colleges and universities that offer a liberal arts degree, a computer engineering degree, and a nursing degree.Explanation / Answer
a) Number of colleges or universities who offered at least one degree = arts + computer engineering + nursing - arts and computer engineering - arts and nursing - computer engineering and nursing + all three
= 230 + 104 + 457 - 27 - 187 - 88 + 20
= 509
Number of colleges or universities surveyed = Number of colleges or universities who offered + Number of colleges or universities who don't offered
= 509 + 34
= 543 (ans)
Of the four year colleges and universities surveyed, 509 offered.
b) arts and nursing but not computer engineering = arts and nursing - all three
= 187 - 20
= 167
c) Only computer engineering = computer engineering - arts and computer engineering - nursing and computer engineering + all three
= 104 - 27 - 88 + 20
= 9
d) arts, nursing and computer engineering = 20
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