Strawberries are vegetative propagation (a kind of asexual propagation), and the part we eat is called "receptacle". Botanically speaking, the small particles on the surface of strawberry "fruit" are the real fruit of strawberry, and the seeds are in this small particle.
What we usually call the "fruit" of strawberry is formed by the expansion of strawberry receptacle. In botany, it is a real fruit developed from the ovary of a flower.