'Element subsets' presentation slideshows

Liberal Arts

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Counting Methods

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More Counting by Mapping

More Counting by Mapping. Lecture 16: Nov 7. This Lecture. Division rule Catalan number. 2. Division Rule. If a function from A to B is k -to-1 , meaning that each element in B is mapped by exactly k elements in A then (This generalizes the Bijection Rule.). e.g.

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More Counting

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Correction: Problem 18

Correction: Problem 18. Alice and Bob have 2 n+1 FAIR coins, each with probability of a head equal to 1/2. Review. Conditional probability of A given B , P(B)>0 P(A|B)=P(A ? B)/P(B) Define a new probability law Conditional independence P(A ? C|B)=P(A|B) P(C|B)

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Section 1.4

Section 1.4. Comparing Sets. Objectives. Recognize equivalent sets. Recognize equal sets. Recognize subsets and use the notation . Recognize proper subsets and use the notation . Determine the number of subsets of a set. . Key Terms.

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Permutations and Combinations Section 3 Objectives :

Permutations and Combinations Section 3 Objectives :. Use factorial notation to represent the number of permutations of a set of objects. Calculate the number of permutations of n objects taken r at a time. Calculate the number of combinations of n objects taken r at a time.

363 views • 13 slides

Graph Theory

1.45k views • 12 slides