Question

In a survey of 100 students of Surkhet, 65 like to play football, 55 like

to play cricket and 35 like to play both football as well as cricket. How

many students did not like both events? Illustrate the above information

in Venn diagram.​

Answer 1

15 students do not like either sport

Explanation:

See the attached image.

Step 1: put 35 in the "like to play both" (intersection) area.

Step 2: subtract those 35 from the 65 football players. 65 - 35 = 30 players like football but not cricket. Put 35 in the football but not cricket area.

Step 3: subtract 35 from the 55 cricket players. 55 - 35 = 20 players like cricket but not football. Put 20 in the cricket but not football area.

Step 4: Add the 30 + 35 + 20 = 85 together. So 85 players are accounted for as players of one or more sports.

Step 5: 100 - 85 = 15 must be the number of students who did not like either sport. Put 15 in the area outside both circles.