Of the 80 students in class, 25 are studying Marketing, 15 Finance and 13 HRM. 3 are studying Marketing and Finance; 4 are studying Finance and HRM; 2 are studying Marketing and HRM; and none is studying all 3 subjects at the same time. How many students are not studying any of the three subjects?
Answers
Answer:
sol: 2
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Step-by-step explanation:
How to solve your problem
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(2x-1)(x^{2}+2x-1)-(1-2x)(x-3)
(2x−1)(x2+2x−1)−(1−2x)(x−3)
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(2x-1)(x^{2}+2x-1)}}-(1-2x)(x-3)
(2x−1)(x2+2x−1)−(1−2x)(x−3)
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Given: Total number of students = 80
Number of students studying Marketing = 25
Number of students studying Finance = 15
Number of students studying HRM = 13
Number of students studying Marketing and Finance = 3
Number of students studying Finance and HRM = 4
Number of students studying Marketing and HRM = 2
To find: Number of students not studying any of the three subjects
Solution: Let us comsider the subjects to be as follows:
Marketing = M, Finance = F and HRM = H.
According to the question,
n(M) = 25, n(F) = 15, n(H) = 13,
n(M ∩ F) = 3, n(F ∩ H) = 4, n(M ∩ H) = 2
Since none is studying all the three subjects, n(M ∩ F ∩ H) = 0.
Therefore, total number of students studying at least one subject:
n(M ∪ F ∪ H)= n(M) + n(F) + n(H) + n(M ∩ F) + n(F ∩ H) + n(M ∩ H) + n(M ∩ F ∩ H)
= 25 + 15 + 13 - 3 - 4 - 2 + 0
= 44
Hence, number of students not studying any of the three subjects
= 80 - 44 = 36
Answer: 36