Question

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

Answer 1

Answer:

123

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