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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 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?
Most Upvoted Answer
There are 200 individuals with a skin disorder, 120 had been exposed t...
Solution:
Given,
- Total individuals with skin disorder = 200
- Individuals exposed to Chemical C1 = 120
- Individuals exposed to Chemical C2 = 50
- Individuals exposed to both Chemical C1 and Chemical C2 = 30
We need to find:
- Individuals exposed to Chemical C1 but not Chemical C2
- Individuals exposed to Chemical C2 but not Chemical C1
- Individuals exposed to Chemical C1 or Chemical C2
(i) Individuals exposed to Chemical C1 but not Chemical C2
Let the number of individuals exposed to Chemical C1 but not Chemical C2 be x.
From the given data, we know that:
- Individuals exposed to Chemical C1 = 120
- Individuals exposed to both Chemical C1 and Chemical C2 = 30
Therefore, using the formula of set theory:
Number of individuals exposed to Chemical C1 only = Number of individuals exposed to Chemical C1 - Number of individuals exposed to both Chemical C1 and Chemical C2
x = 120 - 30 = 90
Hence, the number of individuals exposed to Chemical C1 but not Chemical C2 is 90.
(ii) Individuals exposed to Chemical C2 but not Chemical C1
Let the number of individuals exposed to Chemical C2 but not Chemical C1 be y.
From the given data, we know that:
- Individuals exposed to Chemical C2 = 50
- Individuals exposed to both Chemical C1 and Chemical C2 = 30
Therefore, using the formula of set theory:
Number of individuals exposed to Chemical C2 only = Number of individuals exposed to Chemical C2 - Number of individuals exposed to both Chemical C1 and Chemical C2
y = 50 - 30 = 20
Hence, the number of individuals exposed to Chemical C2 but not Chemical C1 is 20.
(iii) Individuals exposed to Chemical C1 or Chemical C2
Let the number of individuals exposed to Chemical C1 or Chemical C2 be z.
From the given data, we know that:
- Individuals exposed to Chemical C1 = 120
- Individuals exposed to Chemical C2 = 50
- Individuals exposed to both Chemical C1 and Chemical C2 = 30
Therefore, using the formula of set theory:
Number of individuals exposed to Chemical C1 or Chemical C2 = Number of individuals exposed to Chemical C1 + Number of individuals exposed to Chemical C2 - Number of individuals exposed to both Chemical C1 and Chemical C2
z = 120 + 50 - 30 = 140
Hence, the number of individuals exposed to Chemical C1 or Chemical C2 is 140.
Therefore, the final answers are:
- Individuals exposed to Chemical C1 but not Chemical C2 = 90
- Individuals exposed to Chemical C2 but not Chemical C1 = 20
- Individuals exposed to Chemical C1 or Chemical C2 = 140
Given,
- Total individuals with skin disorder = 200
- Individuals exposed to Chemical C1 = 120
- Individuals exposed to Chemical C2 = 50
- Individuals exposed to both Chemical C1 and Chemical C2 = 30
We need to find:
- Individuals exposed to Chemical C1 but not Chemical C2
- Individuals exposed to Chemical C2 but not Chemical C1
- Individuals exposed to Chemical C1 or Chemical C2
(i) Individuals exposed to Chemical C1 but not Chemical C2
Let the number of individuals exposed to Chemical C1 but not Chemical C2 be x.
From the given data, we know that:
- Individuals exposed to Chemical C1 = 120
- Individuals exposed to both Chemical C1 and Chemical C2 = 30
Therefore, using the formula of set theory:
Number of individuals exposed to Chemical C1 only = Number of individuals exposed to Chemical C1 - Number of individuals exposed to both Chemical C1 and Chemical C2
x = 120 - 30 = 90
Hence, the number of individuals exposed to Chemical C1 but not Chemical C2 is 90.
(ii) Individuals exposed to Chemical C2 but not Chemical C1
Let the number of individuals exposed to Chemical C2 but not Chemical C1 be y.
From the given data, we know that:
- Individuals exposed to Chemical C2 = 50
- Individuals exposed to both Chemical C1 and Chemical C2 = 30
Therefore, using the formula of set theory:
Number of individuals exposed to Chemical C2 only = Number of individuals exposed to Chemical C2 - Number of individuals exposed to both Chemical C1 and Chemical C2
y = 50 - 30 = 20
Hence, the number of individuals exposed to Chemical C2 but not Chemical C1 is 20.
(iii) Individuals exposed to Chemical C1 or Chemical C2
Let the number of individuals exposed to Chemical C1 or Chemical C2 be z.
From the given data, we know that:
- Individuals exposed to Chemical C1 = 120
- Individuals exposed to Chemical C2 = 50
- Individuals exposed to both Chemical C1 and Chemical C2 = 30
Therefore, using the formula of set theory:
Number of individuals exposed to Chemical C1 or Chemical C2 = Number of individuals exposed to Chemical C1 + Number of individuals exposed to Chemical C2 - Number of individuals exposed to both Chemical C1 and Chemical C2
z = 120 + 50 - 30 = 140
Hence, the number of individuals exposed to Chemical C1 or Chemical C2 is 140.
Therefore, the final answers are:
- Individuals exposed to Chemical C1 but not Chemical C2 = 90
- Individuals exposed to Chemical C2 but not Chemical C1 = 20
- Individuals exposed to Chemical C1 or Chemical C2 = 140
Community Answer
There are 200 individuals with a skin disorder, 120 had been exposed t...
(i) Individuals exposed to chemical C1 but not to chemical C2 =
Individual exposed to chemical C1 - Individual exposed to both chemicals C1 and C2
= 120-30 = 90
(ii) Individual exposed to chemical C2 but not to chemical C1 =
individual exposed to chemical C2 - Individuals exposed to chemicals C1 and C2
=50-30 = 20
(iii) Individuals exposed to chemicals C1 or C2 = Individual exposed to C1 + Individual exposed to chemical C2 - Individuals exposed to both C1 and C2
=120+50-30 = 140
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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 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?
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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 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? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 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? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
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? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 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? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
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