Are there different types of breast cancer? how many different types of breast cancer are there?

See below: Main types are non-invasive or invasive. Then there can be lobular or ductal forms of these non-invasive (in situ), or invasive cancers. There are then variations of hormone receptor positive or negative, her2/neu positive or negative, and then many variations of cell type, aggressiveness, and dna variations too.

Yes: The most common type of breast cancer is invasive ductal cancer. Less commonly lobular. Rarer are medullary, tubular, etc. However, even within ductal, the cancers may be different in cause and behavior as determined by expressions of estrogen, Progesterone and her-2 neu receptors. More recently, gene sequencing has shown tremendous variations in mutations. Go search for new articles.