Add second year

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2023-12-07 01:19:12 +00:00
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- #[[MA284 - Discrete Mathematics]]
- No previous topic
- **Next topic:** [[Principle of Inclusion-Exclusion]]
- **Relevant Slides:** ![Week01.pdf](../assets/Week01_1662844828934_0.pdf)
-
- What is **Combinatorics**? #card
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card-next-schedule:: 2022-09-17T10:51:03.296Z
card-last-reviewed:: 2022-09-13T10:51:03.297Z
card-last-score:: 5
- **Combinatorics** is the mathematics of *counting*.
-
- ## The Additive & Multiplicative Principles
- ### The Additive Principle
- What is the **Additive Principle**? #card
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- If an event $A$ can occur $m$ ways, and event $B$ can occur $n$ (disjoint) ways, then event "$A$ **or** $B$" can occur $m + n$ ways.
- ### The Multiplicative Principle
- What is the **Multiplicative Principle**? #card
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card-last-score:: 5
- If event $A$ can occur $m$ ways, and each possibility allows for event $B$ to occur in $n$ (disjoint) ways, then the event "$A$ **and** $B$" can occur in $m \times n$ ways.
-
- ## Counting with Sets
- What is a **set**?
- A **set** is a collection of things.
- The items in a set are called *elements*.
- A set is **unordered**.

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- #[[MA284 - Discrete Mathematics]]
- No previous topic
- **Next topic:** [[Principle of Inclusion-Exclusion]]
- **Relevant Slides:** ![Week01.pdf](../assets/Week01_1662844828934_0.pdf)
-
- What is **Combinatorics**? #card
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card-last-score:: 5
- **Combinatorics** is the mathematics of *counting*.
-
- ## The Additive & Multiplicative Principles
- ### The Additive Principle
- What is the **Additive Principle**? #card
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card-next-schedule:: 2022-09-29T13:43:04.372Z
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card-last-score:: 5
- If an event $A$ can occur $m$ ways, and event $B$ can occur $n$ (disjoint) ways, then event "$A$ **or** $B$" can occur $m + n$ ways.
- ### The Multiplicative Principle
- What is the **Multiplicative Principle**? #card
card-last-interval:: 4
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card-ease-factor:: 2.46
card-next-schedule:: 2022-09-22T15:18:14.874Z
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- If event $A$ can occur $m$ ways, and each possibility allows for event $B$ to occur in $n$ (disjoint) ways, then the event "$A$ **and** $B$" can occur in $m \times n$ ways.
-
- ## Counting with Sets
- What is a **set**? #card
card-last-interval:: 4
card-repeats:: 1
card-ease-factor:: 2.6
card-next-schedule:: 2022-09-21T20:51:01.873Z
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card-last-score:: 5
- A **set** is a collection of things.
- The items in a set are called *elements*.
- A set is **unordered**.