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Coefficients

The coefficie...

Question

The coefficient of the middle term in the expansion of (1 + x)¹⁰ is ___________.

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Solution

In (1 + x)¹⁰
T_{r +1} = ¹⁰C_r x^r
Middle term is obtained when r = 5
i.e. T_{r +1} = ¹⁰C₅ x⁵
i.e. coefficient of middle term is ¹⁰C₅

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