Question

Q5. There are 200 individuals with a skin disorder, 120 had been exposed to the chemical C1, 50 to chemical C2, and 30 to both the chemicals C1 and C2. Find the number of individuals exposed to
(i) Chemical C1 but not chemical C2
(ii) Chemical C2 but not chemical C1
(iii) Chemical C1 or chemical C2 Solution

and please don't write on paper, please

Answer 1

Answer:

Step-by-step explanation:

i. Subtract: 120 - 90 = 30

ii. Subtract: 50 - 30 = 20

iii. X will denote the universal set consisting of individuals suffering from the skin disorder. A and B will denote the set of individuals exposed to chemicals C1 and C2.

Number of people with skin disorder = n(X) = 200

Number of people exposed to chemical C1 = n(A) = 120

Number of people exposed to both chemical C1 and C2 = n( A ⋂ B) = 30

Number of people exposed to neither of chemical C1 or C2 = n( A ⋃ B)

We know that:

n ( A ⋃ B) = n (A) + n (B) - n (A ⋂ B)

                = 120 + 50 - 30

                = 140

Therefore, 140 individuals are exposed to either chemical C2 or C2.

Hope this helps :D