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Aaysha Pandey
Nov 11, 2020, 3:00:39 AM11/11/20
to Discussion forum for Mathematics for Data Science I
In a class of 40 students, 20 took Mathematics, 18 took Statistics, 16 took English, 7 took Mathematics and Statistics, 7 took Mathematics and English, 9 took Statistics and English, and 3 took all the three courses. How many students are not taking any of these courses?
please explain this.
Chaitanya Teja
Nov 11, 2020, 3:19:19 AM11/11/20
to Discussion forum for Mathematics for Data Science I, Aaysha Pandey
Total Strength of the students is 40
Math's - 20
Statistics - 18
English - 16
M U S = 7
M U E = 7
S U E = 9
M U S U E = 3
7+7+ 9+ 3 = 26
40-26 = 14 Ans
Debajyoti Biswas
Nov 11, 2020, 3:52:26 AM11/11/20
to Discussion forum for Mathematics for Data Science I, Chaitanya Teja, Aaysha Pandey
Ayasha, This problem can be solved by both Set theory and Venn diagram. I am showing the set theory method.
For 3 sets M, S and E, total number of elements or students here, will be n(M U S U E)=n(M)+n(S)+n(E)-n(M cap E)-n(S cap E)-n(M cap S)+n(M cap S cap E). (Here cap means the intersection symbol). Now putting the values we get 20+18+16-7-7-9+3=34. SO, 34 students take at least one course. So 40-34=6 students do not take any course.
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