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Combinatorics - Harvard University

Combinatorics - Harvard University

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2 CHAPTER 1. COMBINATORICS factorial," and it is denoted by the shorthand notation, \N!".1 For the flrst few integers, we have: 1! = 1 2! = 1¢2 = 2 3! = 1¢2¢3 = 6 4! = 1¢2¢3¢4 = 24 5! = 1¢2¢3¢4¢5 = 120 6! = 1¢2¢3¢4¢5¢6 = 720 (1.1) As N increases, N! gets very big very fast.For example, 10! = 3;628;800, and 20! … 2:43 ¢ 1018.In Chapter 3 we’ll make good use of an ...

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