Increasing which of the following would increase the magnetic force between the permanent magnet and the coil? a. transformer b. circuit c. current d. generator

For this one, all you really need to do is eliminate any answers
that are absurd or meaningless.

You can't increase a transformer.
You can't increase a circuit.
You can't increase a generator.

When the current through a coil of wire increases, the magnetic field
around the coil increases, so there would be more magnetic force
between the coil and a permanent magnet.