Fred and diana want their children to "find their own path in life." as a result, they place very few demands on their children's behavior and provide lots of love but very few rules. according to baumrind's theory of parenting, they are using a parenting style.

permissive          

Explanation:

Baumrind has given the theory of parenting styles used by parents. According to him, there are four types of parenting styles.

Permissive parenting style: The permissive parenting style includes parents with high responsiveness and low demands. These parents are extremely loving as well as they provide specific rules and guidelines. They try to be friends with their children and don't expect any mature behavior from the child.

Though this parenting style can have a negative influence on the child's development because usually, parents tend to avoid bad behavior of their child.