In a school all the student play at least one of three indore game - chess carrom table tennis . 60 play chess,50 play table tennis, 48 play carrom , 12 play chess and carrom, 15 play carrom and table tennis, 20 play table tennis and chess. Wat can be the maximum and minimum number of student in a school
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Answer:
Maximum students in school = 123
Minimum students in school = 111
Step-by-step explanation:
Students play chess = A = 60
Students play table tennis = B = 50
Students play carrom = C = 48
Students play games A and C = D = 12
Students play games B and C = E = 15
Students play games B and A = F = 20
Now
Student playing all the games = G = 12.
We can see easily that
Maximum number of students = A+B+C-D-E-F+G = 60+50+48-12-15-20+12
Maximum number of students = 123
Minimum number of students = (maximum no of students) - G
Minimum number of students = 123 - 12 = 111.
SO
Maximum students in school = 123
Minimum students in school = 111
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