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L1 Supplementary Notes Page 1 Selection Sort Comparison Counting.

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Presentation on theme: "L1 Supplementary Notes Page 1 Selection Sort Comparison Counting."— Presentation transcript:

1 L1 Supplementary Notes Page 1 Selection Sort Comparison Counting

2 L1 Supplementary Notes Page 2 Sum Principle

3 L1 Supplementary Notes Page 3 Sum Principle in Abstract Another notation for finite set: set of men in this section = {p|p is a male student in COMP 170 L2}

4 L1 Supplementary Notes Page 4 Matrix Multiplication

5 L1 Supplementary Notes Page 5 Product Principle Si and Sj are disjoint, |Si| = n S = S1 U S2 U … U Sm |S| = m |Si| = mn

6 L1 Supplementary Notes Page 6 2-element subsets and ordered pairs l Ordered pairs: (1, 2) and (2, 1) are different l {1, 2}  (1, 2), (2, 1) l {1, 3}  (1, 3), (3, 1) l …. l # of 2-subsets * 2 = number of ordered pairs

7 L1 Supplementary Notes Page 7 Number of Ordered Pairs l S1: pairs with first element =1 l S2: pairs with first element = 2 l.. l Sn: pairs with first element = n l Si and Sj are disjoint, |Si| = n-1 l S = total # of ordered pairs l S= S1 U S2 U … U Sn |S| = n|Si| = n(n-1)


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