Ten > Sets

Asked by Basanta · 2 years ago

In a survey of 200 people, 120 like to play football, 85 like to play volleyball and 30 like to play none of these two games.

1. If F and V denote the sets of people who like to play football and volleyball respectively, then write the cardinality of $n(\overline {F \cup V})$.
2. Present the above information in a Venn diagram.
3. How many people like to play volleyball only? Find it.
4. Compare the number of people who like to play both the games and the number of people who don't like any of these two games.