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Intersection of Sets

Find the numb...

Question

Find the number of students that had taken Only one of the subjects.

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Solution

From Venn Diagrams, we get
$A$ represents Maths, $B$ represents Physics & $C$ represents chemistry.
So the number of students that had taken only one of the subjects were $4 + 2 + 5 = 11$

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Similar questions

Q. Find the number of students that had taken at least one of the three subjects

Q. Consider the following statements :
1. The number of students who had taken only one subject is equal to the number of students who had taken only two subjects.
2. The number of students who had taken at least two subjects is four times the number of students who had taken all the three subjects. Which of the above statements is/are correct ?

Q. In a survey of

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students, it was found that

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had taken physics and

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had taken Chemistry,

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had taken Mathematics and Chemistry,

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had taken Mathematics and Physics,

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had taken Physics and Chemistry and

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had taken all the three subjects. Find the number of students that had
(i) Only Chemistry (ii) Physics and Chemistry but not mathematics
(iii) Only one of the subjects (iv) None of the subjects
(v) at least one of the three subjects

Q. In a survey of

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students, it was found that

25

had taken Mathematics

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had taken Physics and

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had taken Chemistry,

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had taken Mathematics and Chemistry and

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had taken Physics and Chemistry if

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students had taken none of the three subjects to find the number of students, who had taken all the three subjects. Also, find the number of those who have taken
(i)

only Mathematics
(ii)

only Physics
(iii) only Chemistry.

Q. The number of students who had taken only two subjects is :

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