in a survey of 25 students, …

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in a survey of 25 students, it was found that 15 students bad taken Mathematics, 12 had taken Physics, I had taken chemistry, 9 had taken Mathematics and Physics, 3had taken all the three subjects, 4 had taken Physics and Chemistry. find the number of students that had ci, Only chemistry Only Mathematics. cii) Only Physics. cin physics and Chemistry but not Mathematics. > Mathematics and Physics but not Chemistry vi) Only one of the subjects. vil) At least one of the three subjects.

Posted by Aleena Philip Shaji 4 years, 2 months ago

CBSE > Class 11 > Mathematics

1 answers

Gaurav Seth 4 years, 2 months ago

Total no. of student=25

Let n(M)=student who studying mathematics

n(C)=student who studying chemistry

n(P)=student who studying Physics

∴n(M)=15,n(P)=12,n(C)=11,n(M∩P)=9,n(M∩C)=5,n(P∩C)=4,n(M∩P∩C)=3

Number of student who studying mathematics and physic but not chemistry

⇒n(M∩P)−n(M∩P∩C)

⇒9−3=6

Number of student who studying chemistry and physic but not mathematics

⇒n(P∩C)−n(M∩P∩C)

⇒4−3=1

Number of student who studying mathematics and chemistry but not physics

⇒n(M∩C)−n(M∩P∩C)

⇒5−3=2

∴No.of student who had taken two of the three subjects=6+1+2=9

1Thank You

ANSWER

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Total no. of student=25

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