1,318 prompts matching "Counting the total outcomes with combinations"
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Practice: The condition for a quadratic equation to have equal roots
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Explain Back: The range of values of k for which the roots are real
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Show All Working: Solving a quadratic by completing the square
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Practice: Finding alpha minus beta from the sum and the product
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Show All Working: Finding a coefficient given a stated relation between the roots
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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial
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Worked Example: The sum of the products of the roots of a cubic taken two at a time
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Practice: Finding the third root of a cubic when two are known
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Worked Example: Solving a quadratic inequality by sketching the parabola
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Common Mistakes: The range of values of x for which an expression stays positive
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Worked Example: The number of arrangements of n different objects in a row
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Practice: Arrangements when some of the objects are identical
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Explain Back: Arrangements in which two particular objects must stay together
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Show All Working: Arrangements of the letters of a given word
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Common Mistakes: Arrangements restricted at the first or the last place
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Worked Example: The identities for one plus tan squared and one plus cot squared
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Practice: The compound angle formula for cosine of A minus B
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Explain Back: The compound angle formula for tan of A plus B
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Show All Working: The half angle formulae and the t-substitution
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