In a school a section of class XI is having 35 students. Out of these 35 students, 15 study Economics, 22 study Business Studies and 14 study Maths. 11 study both Economics and Business Studies, 8 study both Business Studies and Maths and 5 study Economics and Maths. There are only 3 students who study all the three subjects.
1. How many students study Economics only?
(a) 7 (b) 3 (c) 5 (d) 2
2. How many students study only Business Studies?
( a) 8 ( b) 6 (c) 4 (d) 2
3. How many students study exactly 2 subjects ?
(a) 18 ( b ) 15 ( c) 20 (d) 22
4. How many students are there who study at least one of the subjects?
( a) 30 (b ) 28 ( c) 27 (d) 25
please answer fast...I will mark as brainliest
Answers
Answer:
1. 15
2.22
3.24
4.35
The answers which I had gave that are not in the options. It's my own.
Answer:
1. (d) 2
2. (d) 2
3. (d) 22
4. (a) 30
Step-by-step explanation:
Given: Total number of students n(U)=35,
Number of students who studies Economics n(E)=15
Number of students who studies Business studies n(B)=22
Number of students who studies maths n(M)=14
Number of students who studies both economics and business studies n(E∩B)=11
Number of students who studies both business studies and maths n(B∩M)=8
Number of students who studies economics and maths n(E∩M)=5
Number of students who studies all the three subjects n(E∩B∩M)=3
Solution:
n(E∪B∪M)=n(E)+n(B)+n(M)-n(E∩B)-n(B∩M)-n(E∩M)+n(E∩B∩M)
=15+22+14-11-8-5+3
=54-24
=30
1. Number of students who study only Economics=2
2. Number of students who study only business studies=2
3. Number of students who study exactly 2 subjects=22
4.Number of students who study at least one subject=30
- Hence, the required solution is as above.
#SPJ3