der Verband
association
An organization or union of people, clubs, or companies with shared interests.
Der Deutsche Fußball-Bund ist der größte Sportverband der Welt.
The German Football Association is the largest sports association in the world.

association / bandage
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association
An organization or union of people, clubs, or companies with shared interests.
Der Deutsche Fußball-Bund ist der größte Sportverband der Welt.
The German Football Association is the largest sports association in the world.

'Der Verband' comes from the verb 'verbinden' (to connect/bind). The idea of connecting or binding appears in all meanings: people are connected in an organization, a wound is bound with cloth, or military units are joined together.
Die beiden Firmen sind eng miteinander verbunden.
The two companies are closely connected with each other.
The meaning is usually clear. Words like 'Mitglieder' (members) or 'Satzung' (statutes/bylaws) point to an organization. Words like 'Wunde' (wound) or 'Arzt' (doctor) indicate the medical bandage. Military terms like 'Flotte' (fleet) or 'Truppen' (troops) signal the military meaning.
Der Verband hat auf seiner Jahrestagung einen neuen Vorstand gewählt.
The association elected a new board at its annual conference.
In connection with an organization, you can say 'einem Verband beitreten' (to join an association), 'einen Verband gründen' (to found an association), or 'Mitglied in einem Verband sein' (to be a member of an association).
Viele kleine Betriebe sind in diesem Verband organisiert.
Many small businesses are organized in this association.
When referring to a medical bandage, the typical verbs are 'anlegen' (to apply/put on a wound), 'wechseln' (to change/use a new one), and 'tragen' (to wear on the body).
Der Sanitäter legte dem Verletzten schnell einen Verband an.
The paramedic quickly applied a bandage to the injured person.
club / association
'der Verein' and 'der Verband' can both be organizations with shared interests. 'Verein' often means a single group of members, for example a football club or music club. 'Verband' is usually larger and connects several people, clubs, companies, or groups. A 'Verband' often represents shared interests to the outside world, for example toward politicians or the public. Learners may confuse the words because both are organized and can have members. As a guide: a 'Verein' is often the individual local group, while a 'Verband' is often the larger umbrella organization.

Der Verband der Ärzte fordert bessere Arbeitsbedingungen in den Kliniken.
The doctors' association is calling for better working conditions in hospitals.
Am Morgen trainiert der Verein auf dem neuen Sportplatz.
In the morning, the club trains on the new sports field.