EF Motivation

Section 20.1 Motivation

You probably learned to count before you even started kindergarten. But efficiently counting large collections can be difficult!

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How many different ways can you choose your winning numbers for the lottery?
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How many different possible seating charts could be made for the students in this course in the assigned classroom?
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How many different ways are there for you to choose courses to satisfy your degree requirements?
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How many bijections between the sets ${0, 1, 2, 3, 4, 5}$ and ${a, b, c, d, e, f}$ exist?
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How many total orders on the set ${0, 1, 2, 3, 4, 5}$ exist?
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How many partial orders on the set ${0, 1, 2, 3, 4, 5}$ exist?

Elementary Foundations: An introduction to topics in discrete mathematics