Question

In a class of 55 21 study physics 24 study geography and 23 study economics and physics. if x students study all three subjects and 2x study non of the subjects find
1 the value of x
2 the number of students that study only physics
3 number of students that study only 2 subjects
solve usind venn diagram

Answer 1

The total number of students who studied only two subjects is 13.

The given parameters:

• Total number of students, n = 55
• Number of physics students = 21
• Number of geography students = 24
• Number of economics students = 23
• Number of students for the 3 subjects, = x
• Number of students who studied non = 2x

The number of students who studied only two subjects can be determined by applying overlapping three sets formula as shown below;

$Total = n(phy) + n(geo) + n(econ) + n(none)- n(double) - 2(all \ subjects)\\\\55 = 21 + 24 + 23 + 2x-n(double) - 2(x)\\\\55 = 68- n(double)\\\\n(double) = 68-55\\\\n(double) = 13$

Thus, the total number of students who studied only two subjects is 13.

Learn more about overlapping three sets here:  brainly.com/question/2041029