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Permutations & Combinations Explained: When Order Matters (And When It Doesn’t) PUC Mathematics | Permutations & Combinations | Daniel Classes

1st PUC Mathematical Reasoning — statements, logical connectives, and how to check the validity of an argument, taught with the everyday logic behind each rule.

1st PUC Limits and Derivatives — what a limit actually means, how derivatives are defined from first principles, and the standard formulas that follow from it.

1st PUC Introduction to 3D Geometry — coordinate axes, distance formula, and the section formula, extended cleanly from what students already know in two dimensions.

1st PUC Conic Sections — how one idea, slicing a cone at different angles, produces the circle, parabola, ellipse and hyperbola, with the standard equations and how to recognise each from its form.

1st PUC Linear Inequalities — solving algebraically and graphically, and the one rule that trips up nearly every student: what happens when you multiply or divide by a negative.

1st PUC Principle of Mathematical Induction — the two-step proof structure explained with the reasoning behind why it actually proves something, not just the mechanics to copy.

1st PUC Relations & Functions — ordered pairs, domain and range, and the difference between a relation and a function, explained with the reasoning students actually need.