You have an intrinsic semiconductor, a \(p\)-type semiconductor, and an \(n\)-type semiconductor. The doped samples each contain the same number density of dopant atoms. Which of the three semiconductors do you expect to have \((a)\) the greatest ability to carry current when the three are connected to identical batteries, (b) the greatest number of electrons, and (c) the greatest number of holes entering the battery as they leave the semiconductor?