out of 100 students 15 passed in English 12 passed in mathematics 18 science 6 in English and mathematics 7 in mathematics and Science 4 in English and science 4 in all the three find how many passed
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Hi ,
Total students = 100
Number of students
passed in english n( E ) = 15
n ( M ) = 12 ,
n ( S ) = 18 ,
n ( E ∩ M ) = 6 ,
n ( M ∩ S ) = 7 ,
n ( E ∩ S ) = 4 ,
n ( E ∩ M ∩ S ) = 4 ,
n ( E ∪ M ∪ S ) = ?
We know that ,
n ( E ∪ M ∪ S ) = n ( E ) + n( M ) + n( S )
- n(E∩M)-n(M∩S)-n(E∩S)+n(E∩M∩S)
= 15 + 12 + 18 - 6 - 7 - 4 + 4
= 49 - 17
= 32
Number of students passed = 32
I hope this helps you .
:)
Total students = 100
Number of students
passed in english n( E ) = 15
n ( M ) = 12 ,
n ( S ) = 18 ,
n ( E ∩ M ) = 6 ,
n ( M ∩ S ) = 7 ,
n ( E ∩ S ) = 4 ,
n ( E ∩ M ∩ S ) = 4 ,
n ( E ∪ M ∪ S ) = ?
We know that ,
n ( E ∪ M ∪ S ) = n ( E ) + n( M ) + n( S )
- n(E∩M)-n(M∩S)-n(E∩S)+n(E∩M∩S)
= 15 + 12 + 18 - 6 - 7 - 4 + 4
= 49 - 17
= 32
Number of students passed = 32
I hope this helps you .
:)
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