PSTAT 120A Lecture 3: Lecture 3

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If 8 identical blackboards are to be divided among 4 schools, how many divisions are possible? b b b b b b b. We need 8+3 spaces where we will put 3 dividers. __ __ __ __ __ __ __ __ __ __ __ --> 11 spaces. Fill in remaining spaces with blackboards ways to divide the 8 blackboards among 4 schools. __ b __ b __ b __ b __ b __ b __ b. We have 8-1 spaces to put 3 dividers. Empty set = a set with no elements. Subset = let a and b be sets. A is a subset of b if every element of a is also an element of b. Lowercase used to describe elements in a set, uppercase use to describe set. Complement = if is a set, then (complement of ) is the set of all elements that are not elements of.

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