In a class 40 students,31 play football,26play hockey and 13play volleyball.19 play football and hockey,8play both football and volley,and 7play both hockey and volleyball. Each student plays at least one of the three games.

Question

i. Illustrate the information on a venn diagram.
ii.how many students play all three games.
iii.number of students who play at least two games.
iv.number of students who play exactly two games.

Answer 1

If x play all three, then
31+26+13 - (19+8+7) + x = 40
Now find x, and your diagram is complete, so you can easily answer the other questions.

Answer 2

A football team won 10 matches out of the total number of maches they played if their win parcentage was 40 , then how many matches did they play in all