The number of students who participated in Band and Orchestra only according to the Venn diagram are 41 and 36 students respectively.
Let :
- Number of students in band = B
- Number of students in Orchestra = O
- Number of students in Choir = C
- BnOnC= 3
- (CnO) only = 5 - 3 = 2
- (BnC) only = 10 - 3 = 7
- (BnO) only = 12 - 3 = 9
- Number of students in Band only = (60 - (9+3+7)) = 41
- Number of students in Orchestra only = (50 - (9 + 3 + 2) = 36
Therefore, 41 students participated in Band only while 36 students participated in orchestra only.
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