Suppose that s is the set of successful students in a classroom, and that f stands for the set of freshmen students in that classroom.

find n(s ∩ f) given that n(s) = 54, n(f) = 28 and n(s ∪ f) = 58a) 112b) 24c) 82d) 0e) 140

b) 24

Step-by-step explanation:

We solve building the Venn's diagram of these sets.

We have that n(S) is the number of succesful students in a classroom.

n(F) is the number of freshmen student in that classroom.

We have that:

In which n(s) are those who are succeful but not freshmen and are those who are succesful and freshmen.

By the same logic, we also have that:

The union is:

In which

So

So the correct answer is:

b) 24

c

step-by-step explanation: