1,105 prompts matching "applying predicate logic to solve a problem"
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Worked Example: The number of arrangements of n different objects in a row
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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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Final Revision: Counting the number plates or codes that can be formed under a rule
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Worked Example: The difference between a permutation and a combination
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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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Explain Back: Choosing a committee with a stated number from each of two groups
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Spot My Mistake: The identity that n choose r equals n choose n minus r
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Final Revision: Combinations used with the addition and multiplication principles
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Learn: The Pythagorean identity, sin squared plus cos squared equals one
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Worked Example: The identities for one plus tan squared and one plus cot squared
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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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Explain Back: The compound angle formula for tan of A plus B
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Spot My Mistake: The double angle formula for sine
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Final Revision: Proving an identity by working on one side only
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Learn: Solving sin x equals a given value between 0 and 360 degrees
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Worked Example: Solving cos x equals a negative value, and finding both solutions
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