This system permits blood to circulate and transport nutrients, oxygen, carbon dioxide, hormonesc and blood cells:

a. Respiratory
b. Circulatory
c. Nervous
d. Endocrine

b. Circulatory

The correct answer is b. Circulatory.

The circulatory system, also known as the cardiovascular system, is responsible for the transportation of nutrients, oxygen, carbon dioxide, hormones, and blood cells throughout the body. It consists of the heart, blood vessels (arteries, veins, and capillaries), and blood. When the heart beats, it pumps oxygenated blood to various organs and tissues, delivering nutrients and oxygen while picking up waste products like carbon dioxide. The circulatory system plays a crucial role in maintaining homeostasis and ensuring the proper functioning of the body's cells.

The correct answer is option b. Circulatory.

To arrive at this answer, we need to understand the functions and components of each system mentioned:

a. The respiratory system is responsible for the exchange of gases, such as oxygen and carbon dioxide, between the body and the external environment. It facilitates breathing and supports the oxygenation of the blood.

b. The circulatory system, also known as the cardiovascular system, is primarily responsible for the circulation of blood throughout the body. It consists of the heart, blood vessels, and blood. The circulatory system transports nutrients, oxygen, carbon dioxide, hormones, and blood cells throughout the body.

c. The nervous system is responsible for coordinating and controlling the body's functions through electrical signals transmitted by neurons. It regulates sensory perception, thought processes, and body movements.

d. The endocrine system is a collection of glands that produce and secrete hormones. These hormones regulate various bodily functions, including metabolism, growth and development, and reproduction.

Considering the functions described, it is clear that the system responsible for the circulation and transportation of nutrients, oxygen, carbon dioxide, hormones, and blood cells is the circulatory system (option b).