A Computer Randomly Prints Three-Digit Codes, with No Repeated Digits

question 115

Essay

A computer randomly prints three-digit codes, with no repeated digits in any code (for example, 387, 072, 760). What is the minimum number of codes that must be printed in order to guarantee that at least six of the codes are identical?

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Definitions:

Marketable Securities Portfolio

A collection of liquid securities that a company holds, which can easily be converted into cash.

Commercial Paper

An unsecured, short-term debt instrument issued by corporations.

Treasury Bills

Short-term government securities issued at a discount from their face value, maturing in a year or less.

Low Default Risk

A classification for bonds or other forms of debt that are deemed to have a minimal chance of the issuer failing to make the required payments.