First of all, a beginning student has to know of the common ion effect. That is, just calling them molecule 1, 2, 3, doesn't help us give a good answer. But sodium chloride and potassium chloride and sodium nitrate do prevent each other from dissolving.
Generally, what jeffmoonchop: said applies, for dilute solutions you can dissolve things independently of each other.
However, your instincts are good. As you dissolve more and more solute, water molecules do end up "tied up" as it were, and not available to dissolve something else. As an example, a saturated solution of sodium chloride does dissolve noticeably less sucrose than pure water does.