Question

In a class of 140 students, 60 play football, 48 play hockey and 75 play cricket, 30 play hockey and cricket, 18 play football and cricket, 42 play football and hockey and 8 play all the three games. Use Venn diagram to find
i. students who do not play any of these three games.
ii. students who play only cricket.
iii. students who play football and hockey, but not cricket.

Answer 1

Answer:

Step-by-step explanation:

This data is wrong as Only Hockey can not be 48

Only H = H  - H∩C - F∩H +  (F∩H∩C)

=> only H = 48 - 30 - 42 + 8 = -16

Which is not possible Let say 48 is 84

Total Students = F + H + C - H∩C - F∩C - F∩H + (F∩H∩C) + (F'∩H'∩C')

=> 140 = 60 + 84 + 75 - 30 - 18 - 42 + 8 + (F'∩H'∩C')

=> 140 = 137 + (F'∩H'∩C')

=> (F'∩H'∩C') = 3

students who do not play any of these three games. = 39

only C = C  - H∩C - F∩C + (F∩H∩C)

=> only C = 75 - 30 - 18 + 8

=> only C = 35

Students who play football and hockey, but not cricket = F∩H - (F∩H∩C) = 42 - 8 = 34

Answer 2

Step-by-step explanation:

see the give attached picture

hope u understand....