Question

IIT student in a class 35 place at least one game I want chess and Carrom and table tennis 22 placed s21 play Carrom 15 play table tennis 10 play just send kar session table tennis 8 play Carrom under table tennis and 6 play all the three games find the number of who played the first question chess and carrom but not table tennis ¡¡) only carram¡¡¡) only chess (hint:use venn diagram)

Answer 1

See the attachment

Given :

Students who play chess = 22

Students who play carrom = 21

Students who play table tennis = 15

Students who play chess and table tennis = 10

Students who play carrom and table tennis = 8

Students who play all three games together = 6 .


Answer -

By using Venn diagram -


(1) Students who play chess and carrom but not table tennis = 5.

Explanation -

= 21 + 22 - 32 - 6

= 43 - 32 - 6

= 11 - 6

= 5



(2) Students who play only chess = 7

Explanation -

= 22 - 6 - 5 - 4 

= 16 - 5 - 4 

= 11 - 4 

= 7 . 



(3) Students who play only carrom = 8.

Explanation - 

= 21 - 6 - 5 - 2 

= 15 - 5 - 2 

= 10 - 2 

= 8. 

Hence : 

Answer : (1) = 5 

Answer : (2) = 7 

Answer : (3) = 8.