1,315 prompts matching "Proving the sum formula by pairing the terms"
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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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Explain Back: Arrangements in which two particular objects must stay together
I have just studied arrangements in which two particular objects must stay together in my
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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Learn: The meaning of n choose r, and how to evaluate it
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Worked Example: The difference between a permutation and a combination
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Spot My Mistake: The identity that n choose r equals n choose n minus r
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WAEC Prep: Pascal's triangle and the combination numbers in it
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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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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha
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Quiz: Solving tan x equals a given value, and the period of the tangent
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Practice: Solving an equation of the form sin of 2x equals a given value
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Common Mistakes: Giving the general solution of a trigonometric equation
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Learn: The shape, period and range of the sine curve
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Worked Example: The shape, period and range of the cosine curve
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Quiz: The tangent curve and its asymptotes
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