**Core Concept**
Invasive carcinoma of the breast refers to cancer cells that have broken through the basement membrane and invaded surrounding tissues. Non-invasive carcinomas, on the other hand, are contained within the ducts or lobules and have not invaded surrounding tissues.

**Why the Correct Answer is Right**
In situ carcinomas are a type of non-invasive carcinoma, characterized by cancer cells that are confined to the ducts or lobules and have not invaded surrounding tissues. This type of cancer is often referred to as ductal carcinoma in situ (DCIS) or lobular carcinoma in situ (LCIS). In situ carcinomas do not invade surrounding tissues and are typically treated with surgery or other local therapies.

**Why Each Wrong Option is Incorrect**
**Option A:** Invasive ductal carcinoma (IDC) is a type of invasive carcinoma that originates in the milk ducts of the breast and invades surrounding tissues. Therefore, it is not a non-invasive carcinoma.
**Option B:** Invasive lobular carcinoma (ILC) is a type of invasive carcinoma that originates in the lobules of the breast and invades surrounding tissues. Therefore, it is not a non-invasive carcinoma.
**Option C:** Inflammatory breast cancer is a rare and aggressive form of invasive carcinoma that causes the breast to become inflamed and swollen. It is not a non-invasive carcinoma.

**Clinical Pearl / High-Yield Fact**
In situ carcinomas are often detected on mammography as a mass or calcifications, and are typically treated with surgery or other local therapies. A key difference between in situ and invasive carcinomas is the presence of invasion, which is a critical factor in determining prognosis and treatment.

**Correct Answer: D. In situ carcinoma is a non-invasive type of breast cancer.**