A Factory Makes Automobile Parts

question 77

Essay

A factory makes automobile parts. Each part has a code consisting of a letter and three digits, such as C117, O076, or Z920. Last week the factory made 60,000 parts. Prove that there are at least three parts that have the same serial number.

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Definitions:

High Intensity Discharge

A type of automotive headlight that produces light through an electric arc between tungsten electrodes housed inside a translucent or transparent fused quartz or fused alumina arc tube.

Net Present Value

Net Present Value (NPV) is a financial metric that calculates the difference between the present value of cash inflows and the present value of cash outflows over a period of time.

Present Value

The current value of a sum of money or cash flows expected in the future, discounted at a given return rate.

Initial Cost

The upfront expenditure associated with the acquisition of an asset or the launch of a project.