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Out of hundred student 15 offered …

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Out of hundred student 15 offered mathematics only 12 offered statistics only 8 physics only 40 offered Physics and Mathematics 20 offered physics and statistics 10 offered mathematics and statistics 65 offered physics find the number of student who offered mathematics second part of 8 physics did not offer any of the subject
  • 1 answers

Gaurav Seth 5 years, 9 months ago

Step-by-step explanation:

Let the set of students who offered mathematics, statistics and physics  be M, S and P respectively. Let a be number of students who offered all 3 subjects.  So we get

40 – a  +  a + 20 – a  + 8 = 65

So 68 – a = 65

 A = 3

Now students who offered Mathematics  

 15 + 10 – a + a + 40 – a

 65 – a

65 – 3 = 62

Now students who offered Statistics

12 + 10 – a + a + 20 – a

42 – a  

42 – 3 = 39

Now students who offered any of three subjects are

15 – 12 + 8 + 10 – a + 40 – a + 20 – a + a

105 – 2 a  

105 – 2 x 3

105 – 6

= 99

So number of students who did not offer any subjects were 100 – 99 = 1

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