The assembly comprises- a stand (1) for hanging a container (6) of a main liquid,- a spike (14), to be introduced into the container of main liquid (6),- a multi-inlet connector (11) with inlet tubings (12, 22), to be connected to containers (40) of additional liquids and to the container of main liquid (6) through the spike (14), and an outlet tubing (13) to be connected to a luer syringe (30) to be introduced into a patient (7).The length of the spike inlet tubing (12) of the connector (11) has a length determined for, during use of the assembly with a container of main liquid (6), keeping the connector (11) hung up on the stand (1) through the spike (14) and the container of main liquid (6).Thanks to the invention, the problem of the tubing traffic is solved.