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Chapter 1 Counting

One of the first things you learn in mathematics is how to count. Now we want to count large collections of things quickly and precisely. For example:
  • In a group of 10 people, if everyone shakes hands with everyone else exactly once, how many handshakes took place?
  • How many ways can you distribute \(10\) girl scout cookies to \(7\) boy scouts?
  • How many anagrams are there of “anagram”?
Before tackling questions like these, let’s look at the basics of counting.