Prove or Disprove That the Cashier's Algorithm for Making Change

question 50

True/False

Prove or disprove that the cashier's algorithm for making change always uses the fewest coins possible when the denominations available are 1-cent coins, 8-cent coins, and 20-cent coins.

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Definitions:

College Student

An individual who is enrolled in and attending courses at a college or university.

Interquartile Range

A measure of variability, calculated as the difference between the upper and lower quartiles, indicating the spread of the middle 50% of the dataset.

Range

The difference between the highest and lowest values in a dataset, providing a measure of the overall spread.

Variance

A measure of the dispersion indicating how far each number in the set is from the mean and from each other.