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There are 200 individuals with a skin disorder, 120 had been exposed to the chemical c1, 50 to chemical c2, and 30 to both chemicals c1 and c2. find the number of individuals exposed to chemical c2​ but not chemical c1​

  • a)
    90

  • b)
    20

  • c)
    140

  • d)
    50

Correct answer is option 'B'. Can you explain this answer?
Verified Answer
There are 200 individuals with a skin disorder, 120 had been exposed t...
Let U= set of individuals suffering from the skin disorder
A= set of individuals exposed to the chemical c1
B= set of individual exposed to the chemical c2
Then n(u)=200, n(A)=120, n(B)=50 and n(A∩B)=30
Similarly, B=(B−A)∪(A∩B)
∴n(B)=n(B−A)+n(A∩B)
∵n(B−A)∩(A∩B)=φ
∴n(B−A)=n(B)−n(A∩B)
=50−30=20
Hence, 20 individuals exposed to chemical c2​ but not to chemical c1
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Most Upvoted Answer
There are 200 individuals with a skin disorder, 120 had been exposed t...
Let U= set of individuals suffering from the skin disorder
A= set of individuals exposed to the chemical c1
B= set of individual exposed to the chemical c2
Then n(u)=200, n(A)=120, n(B)=50 and n(A∩B)=30
Similarly, B=(B−A)∪(A∩B)
∴n(B)=n(B−A)+n(A∩B)
∵n(B−A)∩(A∩B)=φ
∴n(B−A)=n(B)−n(A∩B)
=50−30=20
Hence, 20 individuals exposed to chemical c2​ but not to chemical c1
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Community Answer
There are 200 individuals with a skin disorder, 120 had been exposed t...
Total=200
C1=120
C2 = 50 only
C1+c2=30

=C2-(C1+C2)
=50-(30)
=20
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