Let's say Python offers 138 different colors via a short hand code (e.g. "white smoke", "light gray"). Suppose you are writing an algorithm that automates a colorful background graphic with 25 cells. Do not consider where the color is placed. Only consider which colors are in the graphic (i.e. order doesn't matter). How many ways are there to choose 25 colors from these 138 color options if... a...there are no restrictions? b...all the colors are different? c... 12 of the cells are of one color and 13 are a different color (for example, 12 are "red" and 13 are "blue")? d... at least 5 cells are "red" and at least 5 cells are "blue"? e Bonus: Check out the Python code that builds the 5 by 5 graphic. Which case is programmed (a - d)?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Let's say Python offers 138 different colors via a short hand code (e.g. "white smoke", "light gray"). Suppose
you are writing an algorithm that automates a colorful background graphic with 25 cells. Do not consider
where the color is placed. Only consider which colors are in the graphic (i.e. order doesn't matter). How
many ways are there to choose 25 colors from these 138 color options if...
a...there are no restrictions?
b...all the colors are different?
c... 12 of the cells are of one color and 13 are a different color (for example, 12 are "red" and 13 are
"blue")?
d... at least 5 cells are "red" and at least 5 cells are "blue"?
e Bonus: Check out the Python code that builds the 5 by 5 graphic. Which case is programmed (a -
d)?
Transcribed Image Text:Let's say Python offers 138 different colors via a short hand code (e.g. "white smoke", "light gray"). Suppose you are writing an algorithm that automates a colorful background graphic with 25 cells. Do not consider where the color is placed. Only consider which colors are in the graphic (i.e. order doesn't matter). How many ways are there to choose 25 colors from these 138 color options if... a...there are no restrictions? b...all the colors are different? c... 12 of the cells are of one color and 13 are a different color (for example, 12 are "red" and 13 are "blue")? d... at least 5 cells are "red" and at least 5 cells are "blue"? e Bonus: Check out the Python code that builds the 5 by 5 graphic. Which case is programmed (a - d)?
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