Fundamental principle of counting- ch 6 - Discrete Mathematics

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Discrete Mathematics

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Fundamental principle of counting

Fundamental Principle Of Counting

6.1 The Basics of Counting

We Well Present Some Of Basic Counting Principles:

-The Product Rule- The Sum Rule- The Subtraction Rule- The Division Rule

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The Product Rule

Product rule

Generalized product rule:

If we have a procedure consisting of sequential tasks T1, T2, …, Tm that can be done in n1, n2, …, nm ways, respectively, then there are n1 n2 … nm ways to carry out the procedure.

The Sum Rule

The Subtraction Rule

kK + 1

Example : In our 60-student class, at least 12 students will get the same letter grade (A, B, C, D, or F).

The End

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