Question

the source for convection currents in the mantle comes from these layers...
inner core and crust
mantle and crust
outer core and crust
outer core and mantle

Explanation:

The inner core is solid and doesn't contribute to convection in the mantle. The crust is too cool and rigid. The outer core is liquid and generates heat, and the mantle (specifically the asthenosphere) is semi - molten. Heat from the outer core causes convection currents in the mantle.

Answer:

Outer core and mantle