zählen
to count
To determine the number of things or people by counting them.
Bitte zähle, wie viele Stühle im Raum stehen.
Please count how many chairs are in the room.

to count
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to count
To determine the number of things or people by counting them.
Bitte zähle, wie viele Stühle im Raum stehen.
Please count how many chairs are in the room.

In the meaning 'dazugehören' (to belong), 'zählen' (to count) is always used with the preposition 'zu' and the dative. The structure is: subject + zählt + zu + dative object.
Er zählt zu den wichtigsten Autoren seiner Generation.
He counts among the most important authors of his generation.
When 'zählen' means 'sich verlassen' (to rely on), it is always used with the preposition 'auf' and the accusative. The structure is: subject + zählt + auf + accusative object.
Kann ich bei der Party auf dich zählen?
Can I count on you at the party?
In the meaning 'wichtig sein' (to be important) or 'gültig sein' (to be valid), 'zählen' (to count) is often used without an object. The subject is then the thing that is important.
In diesem Spiel zählt nur der Sieg.
In this game, only victory counts.
When you determine the number of something, this 'something' is the direct object in the accusative. The structure is: subject + zählt + accusative object.
Der Kassierer zählte das Geld in der Kasse.
The cashier counted the money in the register.
When it is about saying the numbers in the correct order, 'zählen' (to count) is often used with the preposition 'bis' (to/up to) to indicate the end of the number sequence.
Meine Nichte kann schon bis zwanzig zählen.
My niece can already count to twenty.
to play
'eine Rolle spielen' (to play a role) and 'zählen' can both express that something is important. 'eine Rolle spielen' fits especially when something influences a situation, for example time, money, or experience. 'zählen' often sounds more direct and means: this is important, valid, or taken into account. Learners may confuse them because both point to significance. Here, however, 'spielen' is almost always used in the fixed expression 'eine Rolle spielen'.

Bei der Prüfung zählt vor allem, dass die Antwort klar ist.
In the exam, what counts most is that the answer is clear.
Für den Termin spielt das Wetter keine große Rolle.
The weather does not play a major role for the appointment.