in a survey of school students,64 had taken mathematics course,94 had taken chemistry course,58 had taken physics course,28 had taken mathematics and physics,26 had taken mathematics and chemistry,22 had taken chemistry and physics course,and 14 had taken all the three courses. Find how many had taken one course only by using Venn diagram.
Answers
Given : 64 had taken mathematics course,
94 had taken chemistry course,
58 had taken physics course,
28 had taken mathematics and physics,
26 had taken mathematics and chemistry,
22 had taken chemistry and physics course,
14 had taken all the three courses
To Find : how many had taken one course only
Solution:
M = 64
C = 94
P = 58
M ∩ P = 28
M ∩ C = 26
C ∩ P = 22
M ∩ P ∩ C = 14
Maths only = M - M ∩ P - M ∩ C + M ∩ P ∩ C
= 64 - 28 - 26 + 14
= 24
Physics only = P - M ∩ P - P ∩ C + M ∩ P ∩ C
= 58 - 28 - 22 + 14
= 22
Chemistry only = C - M ∩ C - P ∩ C + M ∩ P ∩ C
= 94 - 26 - 22 + 14
= 60
taken one course only = 24 + 22 + 60 = 106
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Answer:
106
Step-by-step explanation: