Instructor: | Mr. Isa Hafalir, Mr. Ahmed Hefny |

Attendance: | Ayan, Adan, Omar, Baseer |

Handout: | Purple comet problems |

Problems Solved in Class: | - Problems 1-5 of 2015 Purple Comet test - Examples from "Introduction to Counting and Probability" |

Concepts: | Counting:- Counting number of elements in a list: Off-by-one errors, problem reduction: reduce a more difficult problem to a simpler one; transforming elements in a list does not change the number of elements.- Counting using Venn diagrams- Constructive Counting: Define a generative process to create solutions such that the number of possibilities in each step of the process can be counted.- Complementary Counting: When counting the number of solutions that satisfy a condition, sometimes it is easier to count the number of solutions that do NOT satisfy the conditions (let's call that x). The answer then would be:answer = number of all solutions - x |

Student Difficulties: | |

Homework: | Homework due 3/6:Purple Comet Problems:Problems 6-15 Counting:https://www.dropbox.com/s/zy3vdbrdj4ifrsw/CountingDay1.pdf?dl=0 |

Notes: | * Please bring working sheets and pencils to upcoming sessions.* A competition will be held on 2/28. It will cover all concepts discussed so far. Use purple comet handout for preparation. |

## Monday, February 22, 2016

### Division M2 session on Feb 21, 2016

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