All Cheat Sheet

Key Definitions

• All: Refers to the entirety of a set or group, encompassing every member without exception. ✅

Important Concepts

Properties of "All"

• Universal Quantifier: In logic, "All" is often represented by the symbol ∀, indicating that a property holds for every element in a set. ✅

• Set Theory: In set notation, "All" can refer to the universal set, which includes all possible elements under consideration. ✅

Key Formulas

• P(A): Probability of event A

• n(A): Number of favorable outcomes for A

• n(S): Total number of outcomes in the sample space

Common Mistakes to Avoid

Common Mistake: Confusing "All" with "Some"; "All" implies every element, while "Some" only requires a subset.

Memory Tricks

Tip: "ALL" — All Logic Leads to completeness in reasoning.

Key Diagrams

Universal Set: U
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| A | B | C | D |
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• U represents the universal set containing all elements.