Out of hundred student 15 offered …

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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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