Answer:
6 students did not watch any one of these three movies.
Step-by-step explanation:
To solve this problem, we must build the Venn's Diagram of this set.
I am going to say that:
-The set A represents the students that watched Part I.
-The set B represents the students that watched Part II.
-The set C represents the students that watched Part III.
-d is the number of students that did not watch any of these three movies.
We have that:
In which a is the number of students that only watched Part I, is the number of students that watched both Part I and Part II, is the number of students that watched both Part I and Part III. And is the number of students that like all three parts.
By the same logic, we have:
This diagram has the following subsets:
There were 98 students suveyed. This means that:
We start finding the values from the intersection of three sets.
43 had watched all three parts. This means that .
45 had watched both Parts II and III. This means that:
51 had watched both Parts I and III
52 had watched both Parts I and II
66 had watched Part III
57 had watched Part II
74 had watched Part I
How many students did not watch any one of these three movies?
We have to find d.
6 students did not watch any one of these three movies.