I agree with the other answers that it depends on the type of programming you end up doing..the nature of the program being developed, but having a background in discrete math is great to have just in case.

From my experience, there can be unexpected problems where you will advantage from having grasp at discrete math. I worked on a project for a telecom company where they wanted a simulation to predict the impact on network coverage if a specific cell tower (BTS) was uninstalled. I ended up relying heavily on the cross-product formula and some ray-casting algorithms to model how coverage would shift in the area.