In a class of 100 students, 55 students have passed in Mathematics and 67 students have passed in Physics. Then the number of students who have passed in Physics only is
Step-by-step Solution:
Let:
\( M = 55 \) (students passed in Mathematics)
\( P = 67 \) (students passed in Physics)
Total students = 100
Using the principle of set union:
\[
M + P - \text{Both} = \text{Total}
\]
\[
55 + 67 - x = 100
\]
\[
x = 22
\]
So, the number of students who passed both subjects is 22.
Now, students who passed only Physics:
\[
P - \text{Both} = 67 - 22 = 45
\]