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01 Jul 2025, 11:47
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Find the Number of Participants in at Least One Session:
The total number of participants is a, and the number who attended neither session is d. Therefore, the number of people who attended at least one session (either cybersecurity, cloud computing, or both) is:
Participants in at least one session = a - d
Calculate the Overlap (Both Sessions):
The number of people who attended at least one session can also be found by adding the attendees of each session and subtracting the overlap (those who attended both sessions, who would otherwise be counted twice).
Participants in at least one session = (Cybersecurity attendees) + (Cloud attendees) - (Both attendees)
a - d = b + c - (Both attendees)
Solve for the Number Who Attended Both:
By rearranging the equation, we can find the number of participants who attended both sessions:
Both attendees = b + c - (a - d)
Both attendees = b + c + d - a
Determine the Fraction:
To find the fraction of total participants who attended both, divide the result from step 3 by the total number of participants, a.
Fraction = (Number who attended both) / (Total participants)
Fraction = (b + c + d - a) / a
The total number of participants is a, and the number who attended neither session is d. Therefore, the number of people who attended at least one session (either cybersecurity, cloud computing, or both) is:
Participants in at least one session = a - d
Calculate the Overlap (Both Sessions):
The number of people who attended at least one session can also be found by adding the attendees of each session and subtracting the overlap (those who attended both sessions, who would otherwise be counted twice).
Participants in at least one session = (Cybersecurity attendees) + (Cloud attendees) - (Both attendees)
a - d = b + c - (Both attendees)
Solve for the Number Who Attended Both:
By rearranging the equation, we can find the number of participants who attended both sessions:
Both attendees = b + c - (a - d)
Both attendees = b + c + d - a
Determine the Fraction:
To find the fraction of total participants who attended both, divide the result from step 3 by the total number of participants, a.
Fraction = (Number who attended both) / (Total participants)
Fraction = (b + c + d - a) / a
01 Jul 2025, 12:04
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From the given information, we can formulate the equation:
a - d = b + c - Both B and C
Both B and C = b + c + d - a
Dividing both sides by a:
Fraction = (b + c + d -a)/a
Hence, the answer is option C
a - d = b + c - Both B and C
Both B and C = b + c + d - a
Dividing both sides by a:
Fraction = (b + c + d -a)/a
Hence, the answer is option C
01 Jul 2025, 12:09
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Total Participants = a
attended Cybersecurity = b,
Attended Cloud computing = c
Attended neither = d
Attended both = x (lets say)
What is x/a?
Now, Total participants = attended Cybersecurity + Attended Cloud computing + Neither - Both
=> a= b+c+d-x => x = b+c+d-a
\frac{x}{a} = \(\frac{b + c + d - a}{a}\)
C is the answer
Concept : for Two sets A, B : Total (A,B) = A + B - both (A,B), we add neither to calculate universal Total.
attended Cybersecurity = b,
Attended Cloud computing = c
Attended neither = d
Attended both = x (lets say)
What is x/a?
Now, Total participants = attended Cybersecurity + Attended Cloud computing + Neither - Both
=> a= b+c+d-x => x = b+c+d-a
\frac{x}{a} = \(\frac{b + c + d - a}{a}\)
C is the answer
Concept : for Two sets A, B : Total (A,B) = A + B - both (A,B), we add neither to calculate universal Total.
Bunuel
