What type of cancer is specifically associated with the tissue that synthesizes white blood cells?

The type of cancer specifically associated with the tissue that synthesizes white blood cells is leukemia. Leukemia originates in the bone marrow, which is the primary site where white blood cells, or leukocytes, are produced. This cancer results in the uncontrolled proliferation of abnormal white blood cells, leading to various symptoms and complications, including an impaired immune response.

In contrast, leukocytosis refers to an increase in the number of white blood cells, often as a response to infection or other stimuli, rather than being a type of cancer itself. Anemia is not related to white blood cells; it involves a deficiency of red blood cells or hemoglobin, which affects oxygen transport. Leucopenia denotes a decreased number of white blood cells, typically due to factors such as infections or bone marrow disorders, but again, it is not classified as a type of cancer. Hence, leukemia is the correct answer as it directly pertains to cancer involving the cells responsible for white blood cell synthesis.