1,332 prompts matching "Mixed sequence exam question, arithmetic and geometric"
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Quiz: The number of arrangements of r objects chosen from n
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Practice: Arrangements when some of the objects are identical
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Spot My Mistake: Arrangements in which two particular objects must be kept apart
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Common Mistakes: Arrangements restricted at the first or the last place
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Final Revision: Counting the number plates or codes that can be formed under a rule
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Quiz: Choosing a committee of r people from n
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Practice: Choosing a committee that must contain one particular person
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Spot My Mistake: The identity that n choose r equals n choose n minus r
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Common Mistakes: Selections in which at least one of a kind must appear
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Learn: The Pythagorean identity, sin squared plus cos squared equals one
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Quiz: The compound angle formula for sine of A plus B
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Practice: The compound angle formula for cosine of A minus B
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Spot My Mistake: The double angle formula for sine
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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha
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Final Revision: Proving an identity by working on one side only
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Practice: Solving an equation of the form sin of 2x equals a given value
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Spot My Mistake: Solving an equation by first applying a Pythagorean identity
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Common Mistakes: Giving the general solution of a trigonometric equation
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Final Revision: Losing solutions by dividing through by cos x
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Practice: The effect of a in y equals a sin x
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