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In a class of 100 students few are in science stream and rest are in arts stream. 30 students took physics, 20 took chemistry, 25 took maths, 2 students took physics, chemistry and maths, 5 in physics and Chemistry, 6 in Physics and Maths and 3 in chemistry and Maths. How many took Arts if no students is common in Science & Arts
  • a)
    33
  • b)
    35
  • c)
    37
  • d)
    39
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In a class of 100 students few are in science stream and rest are in a...

n (A ∪ B ∪ C)
∴ (A ∪ B ∪ C)C = 37 
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Most Upvoted Answer
In a class of 100 students few are in science stream and rest are in a...


Analysis:

To solve this problem, we can use the principle of inclusion-exclusion. We have information about the number of students taking different combinations of physics, chemistry, and maths.

Given Information:
- Total number of students = 100
- Number of students taking physics = 30
- Number of students taking chemistry = 20
- Number of students taking maths = 25
- Number of students taking all three subjects = 2
- Number of students taking physics and chemistry = 5
- Number of students taking physics and maths = 6
- Number of students taking chemistry and maths = 3

Solution:

Step 1: Calculate the total number of students in the science stream
- Total number of students taking science subjects = 30 (Physics) + 20 (Chemistry) + 25 (Maths) - 2 (All three subjects) - 5 (Physics and Chemistry) - 6 (Physics and Maths) - 3 (Chemistry and Maths) = 59

Step 2: Calculate the number of students in the arts stream
- Total number of students = 100
- Number of students in the science stream = 59
- Number of students in the arts stream = 100 - 59 = 41

Therefore, the number of students taking Arts subjects = 41

Final Answer:
- The number of students taking Arts subjects = 41

Therefore, the correct answer is option 'C' (37).
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In a class of 100 students few are in science stream and rest are in arts stream. 30 students took physics, 20 took chemistry, 25 took maths, 2 students took physics, chemistry and maths, 5 in physics and Chemistry, 6 in Physics and Maths and 3 in chemistry and Maths. How many took Arts if no students is common in Science & Artsa)33b)35c)37d)39Correct answer is option 'C'. Can you explain this answer?
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