Question

Yale University takes the men’s Soccer and basketball teams to play Georgetown University. Soccer is played by 11 a side and basketball is played by 5 a side. For the Yale teams, it is known that 3 of the basketball players are also in the soccer team. It is also known that there are no reserves or substitutes. However, 20 Cheerleaders have accompanied the players to boost their morale. Let S = Soccer, B = Basketball , C= Cheerleaders, and U= The universal set of Total number of players and Cheerleaders.

1. Represent the above information in a Venn diagram
2. What is the probability that a player chosen at random plays basketball?
3. What percent of the players play soccer only?
4. Suppose a player gets an allowance of $5, what is the total amount paid to the teams?

Answer 1