L06_Mon_Jan_25

# L06_Mon_Jan_25 - MAE3811Sp 2010 Mahoney1 How many subsets...

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1 MAE3811–Sp. 2010 Mahoney–1 How many subsets does a set have? Remember, the empty set is always a subset, in fact its usually a _________ subset. Is a set a subset of itself? Consider the set = {1, 2, 3}. Let S be a subset of this set. Let’s examine the possibilities for S in a very systematic way. MAE3811–Sp. 2010 Mahoney–2 What we just saw is what is called a Tree Diagram. Think of the “Fork in The Road Concept”. The tree diagram illustrates a powerful mathematical idea called the _________________ _________________. One of the versions is defined below: If an overall decision can be made in ______ stages and there are _____ choices for the _________ stage and _____ choices for the ___________ stage _______________ of the which choice was made in the _________ stage, then total number of possibilities for making an overall decision is ____________. Is there any shorter way to say this?

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2 MAE3811–Sp. 2010 Mahoney–3 Let’s look out how that original tree diagram applies to the following examples: How many subset does each set have? {1}
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L06_Mon_Jan_25 - MAE3811Sp 2010 Mahoney1 How many subsets...

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