The correct answer is: "command and market economies".
Mixed economies combine aspects from both, command and market economies.
In a market-based economy, the free interactions of the economic agents (households, companies and public administration) in the markets determine the quantities produced and the prices of products and factors of production. It is characterized by no intervention of the government in economic issues, because it is believed that the markets alone would generate the most efficient outcomes for all agents.
On the other, a command economy is based on central planification. The goverment decides every aspect in the economy: what to produce, how to produce and for whom. The decisions of the agents do not have a say and do not affect the variables of the economy.
In a mixed economy, markets function but under the supervision of the goverment and the economic authorities, that will only intervene setting limits or regulations when they consider that the market outcomes are generating inefficiencies or large income inequalities.