Out of 40 student in a class 16 study English ,22study account & 26 eco. 5 study English & eco ,14 Account & eco 2 study all the three subject if each student studies at least one of the three subject. Find the number of student who study.
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According to your data, they all study.
Good
To find the number of students who study at least one of the three subjects (English, Account, and Eco), we can use the principle of inclusion-exclusion.
1. Start by adding the number of students who study each subject individually:
Number of students studying English = 16
Number of students studying Account = 22
Number of students studying Eco = 26
2. Next, subtract the number of students who study multiple subjects to avoid counting them twice:
Number of students studying English and Eco = 5
Number of students studying Account and Eco = 14
3. Finally, add back the number of students who study all three subjects, as they were subtracted twice:
Number of students studying all three subjects = 2
Now, calculate the total number of students who study at least one subject:
Total = English students + Account students + Eco students
- (English and Eco students + Account and Eco students)
+ (students studying all three subjects)
Total = 16 + 22 + 26 - 5 - 14 + 2
Total = 47
Therefore, 47 students study at least one of the three subjects.
7
5