Question

0-12. In a class of 140 students. 60 play football, 48 play hockey and 75 play cricket 30 play
hockeyand cricket, 18 play and cricket, 42 play football and hockey and 8 play all the
threegames, use venn diagram to find,
(1) Students who do not play any of these three games
(ii) Students who play only cricket
(111) Students who play football and hockey, but not cricket​

Answer 1

Answer:

Step-by-step explanation:

This data is incorrect as only the sport hockey can not be 48

Since the equation formed will be - H  - H∩C - F∩H +  (F∩H∩C)

and if only Hockey is 48, the equation will be

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

Thus, this is not possible as it is a negative figure, hence let the value instead of 48 be 84

Therefore,

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

= 140 = 60 + 75 + 84 - 30 - 18 - 42 + 8

= 140 = 137

= 3

Students that do not play any of the games. = 39

Thus, C  - H∩C - F∩C + (F∩H∩C)

= 75 - 30 - 18 + 8

= 35

Students who play football and hockey, but not cricke= F∩H - (F∩H∩C)  

= 42 - 8

= 34