Probabilistic Systems Analysis and Applied Probability

Lecture 4: Counting

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Lecture Topics

Principles of Counting Examples of Counting Permutations Combinations Partitions Binomial Probabilities

Lecture Activities

• Watch the Lecture 4: Counting Video by Prof. Tsitsiklis (00:51:35)
• Review the Lecture 4: Counting Slides (PDF)
• Read Section 1.6 in the textbook

Recitation Problems and Recitation Help Videos

Review the recitation problems in the PDF file below and try to solve them on your own. Two of the problems have an accompanying video where a teaching assistant solves the same problem.

• Recitation 4 Problems (PDF)
• Recitation 4 Solutions (PDF)

Recitation Help Videos

PROBLEM #	PROBLEM TITLE	PROBLEM SOLVED BY
2	Rooks on a Chessboard	Katie Szeto
3	Hypergeometric Probabilities	Kuang Xu

Tutorial Problems

Review the tutorial problems in the PDF file below and try to solve them on your own. Check your answers when you’re done.

• Tutorial 2 Problems (PDF) Do ONLY problems 1, 3, and 4
• Tutorial 2 Solutions (PDF)

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