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 = 123
Minimum Students = 111
Step-by-step explanation:
Play Chess C = 60
Play Table Tennis T = 50
Play carrom B = 48
C ∩ B = 12
B ∩ T = 15
C ∩ T = 20
Minimum & Maximum case depend upon number of students playing all the games .
Minimum number of students playing all games = 0
Maximum number of students playing all game = 12
C∩B∩T = 0 & C∩B∩T = 12
Total number of students = C + T + B - C ∩ B - B ∩ T - C ∩ T + C∩B∩T
= 60 + 50 + 48 - 12 - 15 - 20 + C∩B∩T
= 111 + C∩B∩T
Maximum Students = 111 + 12 = 123
Minimum Students = 111 + 0 = 111
as994409:
How max students = 12
Also min stu = 0
0 is minimum , what can be less than 0 . & 12 is maximum because only 12 play chess and carrom so how more than that can play all games.
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