A device (1) for positioning cutting particles (2a-c), including a receiver (4) that has a first receiving opening (5a) to receive a first cutting particle (2a), and a second receiving opening (5b) to receive a second cutting particle (2b), and comprising a unit or generator (7) for generating a holding force that affixes the cutting particles (2a; 2b) in the receiving openings (5a, 5b), and the holding force that affixes the first cutting particle (2a) in the first receiving opening (5a) can be adjusted independently of the holding force that affixes the second cutting particle (2b) in the second receiving opening (5b).