Development of brachiocephalic, subclavian and common carotid arteries

Fate of pharyngeal arch arteries
Brachiocephalic is formed by the right horn of aortic sac
Subclavian-
Proximal part of rt subclavian is derived from the right 4th arch artery
Remaining part of the artery being derived from the 7th cervical intersegmental artery
On the left side, the subclavian artery is derived from the 7th cervical intersegmental artery arising from the dorsal aorta opposite the attachment of the 4th arch artery.
Common carotid arteries
Derived on either side from part of the 3rd arch artery, proximal to the external carotid bud.
Internal carotid artery is formed by the portion of the 3rd arch artery distal to the bud, along with the original dorsal aorta cranial to the attachment of 3rd arch artery.
As the right 3rd and 4th arch arteries arise from the right horn of the aortic sac, the common carotids and subclavian arteries become branches of the brachiocephalic artery.
External carotid artery arises as a bud from the 3rd arch artery.
First arch artery is represented by maxillary artery
Some part of 2nd arch artery persists in fetal life as stapedial artery and may contribute to the ECA.