You are riding a multi$-$speed bicycle up a steep hill that's $100$ m high and want to do as little work as possible on your way up the hill.

Your choice of gears doesn't matter because you'll do the same amount of work climbing the hill no matter which gear you choose.

You should choose the smallest crank sprocket $($attached to the pedals$)$ and the largest freewheel sprocket $($attached to the rear wheel$).$

You should choose the largest crank sprocket $($attached to the pedals$)$ and the largest freewheel sprocket $($attached to the rear wheel$).$

You should choose the largest crank sprocket $($attached to the pedals$)$ and the smallest freewheel sprocket $($attached to the rear wheel$).$