Question

In a survey of​ four-year colleges and​ universities, it was found that 255 offered a liberal arts degree. 110 offered a computer engineering degree. 481 offered a nursing degree. 30 offered a liberal arts degree and a computer engineering degree. 211 offered a liberal arts degree and a nursing degree. 86 offered a computer engineering degree and a nursing degree. 25 offered a liberal arts​ degree, a computer engineering​ degree, and a nursing degree. 33 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 are ____ ​four-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 universities 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. Enter your answer in each of the answer boxes.

Answer 1

Answer:

a)

Let us consider,

Number of schools or colleges who offered at any rate one degree =  arts + computer engineering + nursing - arts and computer engineering - arts and nursing - computer engineering and nursing + all three

from the given data we have to put the values in above expression

= 255 + 110 + 481 - 30 - 211 - 86 + 25

Number of schools or colleges who offered in any event one degree = 544

Now we have to give the number of schools or colleges studied

Number of schools or colleges reviewed is given as the summation of number of universities or colleges who offered and number of schools or colleges who don't advertised

Number of schools or colleges reviewed = Number of universities or colleges who offered + Number of schools or colleges who don't advertised

from the given data we have to put the values in above expression then we get

= 544 + 33

Number of schools or colleges studied = 577

Of the multi year schools and colleges studied, 544 advertised.

b)

Here arts and nursing however not computer engineering

from the given data we have to put the values in above expression

= 211 - 25

= 186

c)

Only for computer engineering = computer engineering - arts and computer engineering - nursing and computer engineering + each of the three

from the given data we have to put the values in above expression

= 110 - 30 - 86 + 25

Just computer engineering = 19

d)

So the arts , nursing & computer engineering together = 25