3.In a survey of 25 students, it was found that 15 had taken mathematics,12 had taken Physics and 11 had taken chemistry.5 had takenMathematics and Chemistry,9 had taken mathematics and Physics,4 had taken Chemistry and Physics and 3 had taken all the three subjects. Find the number of students that had
i)only Chemistry ii)only Physics iii)only Mathematics
iv)Physics and Maths but not Chemistry
v)Mathematics and Chemistry but not Physics
vi)only one of the subjects
vii)atleast one of the subjects
viii)none of the subjects

 i)5         iv)6             vii)25

ii)2           v)2               viii)0

iii)4           vi)11

  • -21

i)5

ii)2

iii)4

iv)6

v)2

vi)11

vii)23

viii)2

  • -2
i) 5 ii) 4 iii) 2 iv) 1 v) 6 vi) 5 vii) 17 viii) 5
  • -11
Solve this question by venn diagram
  • -4
answer

  • 29
answer part 2

  • 21
Sol.

  • -8
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