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In a world without money, the primary method of obtaining goods and services would be the barter system. The barter system is an ancient form of trade in which goods and services are directly exchanged without the use of money. In this case, as a barber, you would exchange your haircut services for groceries, clothing, and a place to live. Let's examine the challenges you would face under this system.

The first challenge you would face is finding suitable trading partners who are interested in your haircut services and are offering the items (groceries, clothing, and a place to live) you need in exchange. This is a substantial problem in a barter system, as it requires the coincidence of wants. It may take significant time and effort to find the right trading partners and agree upon the exchange.

Another major challenge would be determining the value of goods and services involved in the exchange. Without a standard unit of measurement (like money), it will be challenging to evaluate how many haircuts you would need to provide to receive groceries, clothing, or a place to live. There might be a disparity in the perceived value of goods and services exchanged, resulting in unfair trade and dissatisfaction.

In a barter system, it is difficult to divide goods and services equally. Money provides flexibility in determining the amount needed for a particular exchange, while in a barter system, it can be difficult to break down goods and services into smaller parts for trade. For example, it would be hard to exchange haircuts for half a bag of groceries or a fraction of a house.

Since a barter system relies on a coincidence of wants and lacks a standard unit of measurement, it is less efficient in allocating resources in the economy compared to a monetary system. A lot of time and effort are spent searching for suitable trading partners, which could otherwise be put to more productive use. The difficulty in finding trading partners could lead to a shortage of essential goods and services, making it hard for individuals and businesses to survive and grow. To sum up, in a world without money, obtaining groceries, clothing and a place to live would be very challenging due to limitations in the barter system such as finding suitable trading partners, determining the value of goods and services, divisibility of goods and services, and inefficient allocation of resources.