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Expand \((a+b)^5\).
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Expand \((a-b)^6\).
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Expand \((x-2y)^5\).
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Expand \((2x-3y)^4\).
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Find the third term of \((2 x-3 y)^{6}\).
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Find the sixth term of \((5 x+y)^{8}\).
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Find the coefficient of the \(x^3y^4\) term in the expansion of \((2x+y)^7\).
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Find the coefficient of the \(a^4b^6\) term in the expansion of \((3 a-b)^{10}\).
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A coin is tossed 5 times, in how many ways is it possible to get three heads and two tails?
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A coin is tossed 10 times, in how many ways is it possible to get seven heads and three tails?
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How many subsets are there of a set that has 6 elements?
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How many subsets are there of a set that has \(n\) elements?
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