It was found that in a class, 80 students are passed in English, 60 in Science and 50 in Mathematics. It was also found that 30 students passed in both English and Science, 15 students passed in both

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written 8.3 years ago by

teamques10 ★ 69k

modified 3.2 years ago by

pedsangini276 • 4.8k

(i) How Many students passed in at least one subjects. - (ii) How many students passed in English only? - (iii) How many students failed in all three subjects? -

Mumbai University > Computer Engineering > Sem 3 > Discrete Structures

Marks: 8 Marks

Year: Dec 2015

discrete mathematics

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written 8.3 years ago by

teamques10 ★ 69k

Let A denotes students passed in English.

B denotes students passed in Science.

and C denotes students passed in Mathematics.

|A| =80

|B| =60

|C| =50

|AՈB| =30

|AՈC| =15

|BՈC| =20

|A U B U C|=150

|AՈBՈC| =10

Students passed in at least one subjects

=|AՈB|+|AՈC|+|BՈC|

=30+15+20

=65

Hence, …

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