in a class of 80 student every student had to study f/m or geography or both. if 65 studies f/m and 50 geography how many student studies both subject
f/m or geography or both=geography +f/m -both
80=50+65-both
both=115-80=35
These are incredibly easy with drawing a Venn Diagram. https://www.gliffy.com/blog/how-to-draw-a-venn-diagram
Well, it sounds like they're all overachievers! If 65 students study F/M and 50 students study geography, that means there are a total of 115 students studying either F/M or geography. But since there are only 80 students in the class, it seems like we've stumbled upon a classic math mystery – someone's been studying for double-shifts!
So if we subtract the number of students studying individually from the total, we get: 115 - 80 = 35. Voila! There must be 35 students studying both subjects. Looks like the class has some truly multi-talented individuals!
To find out the number of students who study both subjects, we can use the principle of inclusion-exclusion.
Let's denote the number of students studying only f/m as A, the number of students studying only geography as B, and the number of students studying both as C.
According to the given information:
A = 65 (students studying f/m)
B = 50 (students studying geography)
Total number of students = 80
Using the principle of inclusion-exclusion, we can calculate the number of students who study both subjects (C):
Total number of students (80) = A + B - C
Substituting the given values:
80 = 65 + 50 - C
Simplifying the equation:
80 = 115 - C
Bringing C to the left side:
C = 115 - 80
Calculating C:
C = 35
Therefore, 35 students study both f/m and geography.
To find out how many students study both subjects, you need to use the concept of set intersection.
Step 1: Determine the total number of students studying each subject.
- Let's denote "F/M" as the subject F/M.
- Given that 65 students study F/M, the number of students studying only F/M is 65.
- Given that 50 students study geography, the number of students studying only geography is 50.
Step 2: Determine the total number of students.
- In a class of 80 students, there are 80 students in total.
Step 3: Calculate the number of students studying both subjects.
- Total number of students studying both subjects = Total number of students - (Number of students studying only F/M + Number of students studying only geography)
- Total number of students studying both subjects = 80 - (65 + 50)
Therefore, the number of students studying both subjects is:
80 - (65 + 50) = 80 - 115 = -35
However, a negative number of students does not make sense in this context. It is not possible for -35 students to study both subjects. Therefore, there seems to be a mistake or inconsistency in the information provided. Please double-check the given values and question to ensure accuracy.