srgopinath wrote:

Of 180 people who were asked if they had watched recent college basketball playoffs, 38 watched only game 1, 56 watched game 2, and 64 watched game 3. 20 people watched both game 2 and 3. Make a Venn diagram for this situation. How many people did not watch any of the games?

As directed, make a Venn diagram. You will easily get the answer.

Attachment:

Ques3.jpg [ 24.13 KiB | Viewed 757 times ]
The red area is 38 (Only Game 1 Watchers).

The light green region is 20 (people who watched game 2 and game 3 including people who watched all three games)

Orange and Yellow region combined will be 56 - 20 = 36 since the entire game 2 circle has 56 people.

Similarly the brown and dark green region together will be 64 - 20 = 44 since the entire game 3 circle has 64 people.

To get 'None', that is people who watch no games, from the total 180, we need to subtract people who watch at least one game i.e. all the people lying anywhere in the three circles

None = 180 - 38 - 20 - 36 - 44 = 42

NO of people who did not watch any game = 42

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