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Out of 60 students , 25 failed in paper(1) , 24 in paper (2) , 32 in paper (3), 9 in paper (1) alone , 6 in paper (2) alone , 5 in papers (2) and (3) only and 3 in papers (1) and (2) only. Find how many failed in all the three papers?
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Out of 60 students , 25 failed in paper(1) , 24 in paper (2) , 32 in p...
Solution:

To find out the number of students who failed in all three papers, we need to use the principle of inclusion and exclusion.

Step 1 - Find the number of students who failed in at least one paper

- Total number of students = 60
- Number of students failed in paper (1) = 25
- Number of students failed in paper (2) = 24
- Number of students failed in paper (3) = 32
- Number of students failed in at least one paper = 25 + 24 + 32 - 9 - 6 - 5 + 3 (using the principle of inclusion and exclusion)
- Number of students failed in at least one paper = 64

Step 2 - Find the number of students who failed in exactly two papers

- Number of students failed in paper (1) and (2) only = 3
- Number of students failed in paper (2) and (3) only = 5
- Number of students failed in paper (1) and (3) only = not given
- Number of students failed in exactly two papers = 3 + 5 (using the principle of inclusion and exclusion)
- Number of students failed in exactly two papers = 8

Step 3 - Find the number of students who failed in all three papers

- Number of students failed in all three papers = not given
- Number of students failed in at least one paper = 64
- Number of students failed in exactly two papers = 8
- Number of students failed in all three papers = Number of students failed in at least one paper - Number of students failed in exactly two papers
- Number of students failed in all three papers = 64 - 8
- Number of students failed in all three papers = 56

Therefore, 56 students failed in all three papers.
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Out of 60 students , 25 failed in paper(1) , 24 in paper (2) , 32 in paper (3), 9 in paper (1) alone , 6 in paper (2) alone , 5 in papers (2) and (3) only and 3 in papers (1) and (2) only. Find how many failed in all the three papers?
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Out of 60 students , 25 failed in paper(1) , 24 in paper (2) , 32 in paper (3), 9 in paper (1) alone , 6 in paper (2) alone , 5 in papers (2) and (3) only and 3 in papers (1) and (2) only. Find how many failed in all the three papers? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Out of 60 students , 25 failed in paper(1) , 24 in paper (2) , 32 in paper (3), 9 in paper (1) alone , 6 in paper (2) alone , 5 in papers (2) and (3) only and 3 in papers (1) and (2) only. Find how many failed in all the three papers? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Out of 60 students , 25 failed in paper(1) , 24 in paper (2) , 32 in paper (3), 9 in paper (1) alone , 6 in paper (2) alone , 5 in papers (2) and (3) only and 3 in papers (1) and (2) only. Find how many failed in all the three papers?.
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