Question 144
In a group of people, there are $13$ who like apples, $9$ who like blueberries, $15$ who like cantaloupe, and $6$ who like dates. (A person can like more than $1$ kind of fruit.) Each person who likes blueberries also likes exactly one of apples and cantaloupe. Each person who likes cantaloupe also likes exactly one of blueberries and dates. Find the minimum possible number of people in the group.